No.
The choosing is part of to salvation. And in sanctification of the Spirit precedes both which takes place in time. "from the beginning." In the same way as into obedience and sprinkling of the blood of Jesus Christ, in 1 Peter 1:2.
We had a recent conversation concerning when Jesus was crucified and resurrected. The passages I used there can be applied to "the beginning" here. It is the beginning of something new. It begins on the day after the sabbath, the eighth day. Old things have passed away, behold all things are become new.
Mt 28:1 In the end of the sabbath, as it began to dawn toward the first day of the week, came Mary Magdalene and the other Mary to see the sepulchre.
Joh 12:24 Verily, verily, I say unto you, Except a corn of wheat fall into the ground and die, it abideth alone: but if it die, it bringeth forth much fruit.
Joh 8:12 Then spake Jesus again unto them, saying, I am the light of the world: he that followeth me shall not walk in darkness, but shall have the light of life.
Ac 22:20 And when the blood of thy martyr Stephen was shed, I also was standing by, and consenting unto his death, and kept the raiment of them that slew him.
21 And he said unto me, Depart: for I will send thee far hence unto the Gentiles.
22 And they gave him audience unto this word,
Ac 11:13 And he shewed us how he had seen an angel in his house, which stood and said unto him, Send men to Joppa, and call for Simon, whose surname is Peter;
14 Who shall tell thee words, whereby thou and all thy house shall be saved.
15 And as I began to speak, the Holy Ghost fell on them, as on us at the beginning.
16 Then remembered I the word of the Lord, how that he said, John indeed baptized with water; but ye shall be baptized with the Holy Ghost.
17 Forasmuch then as God gave them the like gift as he did unto us, who believed on the Lord Jesus Christ; what was I, that I could withstand God?
18 When they heard these things, they held their peace, and glorified God, saying, Then hath God also to the Gentiles granted repentance unto life.
Ro 15:16 That I should be the minister of Jesus Christ to the Gentiles, ministering the gospel of God, that the offering up of the Gentiles might be acceptable, being sanctified by the Holy Ghost.
17 I have therefore whereof I may glory through Jesus Christ in those things which pertain to God.
18 For I will not dare to speak of any of those things which Christ hath not wrought by me, to make the Gentiles obedient, by word and deed,
Ac 10:47 Can any man forbid water, that these should not be baptized, which have received the Holy Ghost as well as we?
Ac 11:15 And as I began to speak, the Holy Ghost fell on them, as on us at the beginning.
Ac 2:17 And it shall come to pass in the last days, saith God, I will pour out of my Spirit upon all flesh: and your sons and your daughters shall prophesy, and your young men shall see visions, and your old men shall dream dreams:
Joh 7:37 In the last day, that great day of the feast, Jesus stood and cried, saying, If any man thirst, let him come unto me, and drink.
38 He that believeth on me, as the scripture hath said, out of his belly shall flow rivers of living water.
39 (But this spake he of the Spirit, which they that believe on him should receive: for the Holy Ghost was not yet [given]; because that Jesus was not yet glorified)
Ac 14:27 And when they were come, and had gathered the church together, they rehearsed all that God had done with them, and how he had opened the door of faith unto the Gentiles.
Ro 11:13 For I speak to you Gentiles, inasmuch as I am the apostle of the Gentiles, I magnify mine office:
Col 1:18 And he is the head of the body, the church: who is the beginning, the firstborn from the dead; that in all things he might have the preeminence.
Ro 1:3 Concerning his Son Jesus Christ our Lord, which was made of the seed of David according to the flesh;
4 And declared to be the Son of God with power, according to the spirit of holiness, by the resurrection from the dead:
5 By whom we have received grace and apostleship, for obedience to the faith among all nations, for his name:
Ro 8:14 For as many as are led by the Spirit of God, they are the sons of God.
1Pe 1:23 Being born again, not of corruptible seed, but of incorruptible, by the word of God, which liveth and abideth for ever.
There is an end.
Col 1:20 And, having made peace through the blood of his cross, by him to reconcile all things unto himself; by him, I say, whether [they be] things in earth, or things in heaven.
21 And you, that were sometime alienated and enemies in your mind by wicked works, yet now hath he reconciled
22 In the body of his flesh through death, to present you holy and unblameable and unreproveable in his sight:
23 If ye continue in the faith grounded and settled, and be not moved away from the hope of the gospel, which ye have heard, an] which was preached to every creature which is under heaven; whereof I Paul am made a minister;
Ro 11:25 For I would not, brethren, that ye should be ignorant of this mystery, lest ye should be wise in your own conceits; that blindness in part is happened to Israel, until the fulness of the Gentiles be come in.
The beginning as God intends it is clearly given in scripture. It is the beginning of the church of Jesus Christ after his resurrection and repentant sinners began receiving his Holy Spirit, first the Jews and later the gentiles.