Let's look at God's track record for "attracting".
Yes, let's!
Did Abram seek God or did God call out Abram?
[Gen 18:19 KJV] For I know him, that he will command his children and his household after him, and they shall keep the way of the LORD, to do justice and judgment; that the LORD may bring upon Abraham that which he hath spoken of him.
Did Moses seek God or did God choose Moses?
[Exo 2:11 KJV] And it came to pass in those days, when Moses was grown, that he went out unto his brethren, and looked on their burdens: and he spied an Egyptian smiting an Hebrew, one of his brethren.
Did David seek God or did God choose David?
[1Sa 15:28 KJV] And Samuel said unto him, The LORD hath rent the kingdom of Israel from thee this day, and hath given it to a neighbour of thine, [that is] better than thou.
Did Samuel choose God or did God choose Samuel?
[1Sa 1:11 KJV] And she vowed a vow, and said, O LORD of hosts, if thou wilt indeed look on the affliction of thine handmaid, and remember me, and not forget thine handmaid, but wilt give unto thine handmaid a man child, then I will give him unto the LORD all the days of his life, and there shall no razor come upon his head.
Did Peter seek Jesus or did Jesus choose Peter?
[Jhn 1:40 KJV] One of the two which heard John [speak], and followed him, was Andrew, Simon Peter's brother.
[Jhn 1:41 KJV] He first findeth his own brother Simon, and saith unto him, We have found the Messias, which is, being interpreted, the Christ.
[Jhn 1:42 KJV] And he brought him to Jesus. And when Jesus beheld him, he said, Thou art Simon the son of Jona: thou shalt be called Cephas, which is by interpretation, A stone.
Did Saul/Paul choose Jesus or did Jesus choose Paul?
[Act 22:3 KJV] I am verily a man [which am] a Jew, born in Tarsus, [a city] in Cilicia, yet brought up in this city at the feet of Gamaliel, [and] taught according to the perfect manner of the law of the fathers, and was zealous toward God, as ye all are this day.
Are we starting to see any patterns yet?
Yes, I think we are!
Here's another one: Did Nathanael choose Jesus or did Jesus choose Nathanael?
[Jhn 1:47 KJV] Jesus saw Nathanael coming to him, and saith of him, Behold an Israelite indeed, in whom is no guile!
And another one:
And a couple more that are telling in their own way:
Did King Saul seek God or did God seek Saul?
We all know God chose Saul. But what a choice it was. Yet God didn't reject Saul as king until Saul rejected God: [1Sa 15:26 KJV] And Samuel said unto Saul, I will not return with thee: for thou hast rejected the word of the LORD, and the LORD hath rejected thee from being king over Israel.
Did Jesus seek Judas or did Judas seek Jesus?
[Jhn 6:70 KJV] Jesus answered them, Have not I chosen you twelve, and one of you is a devil?
Even in the passage about drawing, Jesus said this:
[Jhn 6:64 KJV] But there are some of you that believe not. For Jesus knew from the beginning who they were that believed not, and who should betray him.
God's drawing and choosing does not necessarily mean for salvation.
Jesus knew those they believed and those that did not believe "from the beginning" (which means from the beginning of His ministry). So Jesus was drawing those that actually believed, vs Judas, who would betray Him. God therefore draws some who come, but are not believers.