No it doesn't imply He had a sin nature. He shall appear to us the believer and take us home in our complete glorified body and we will have no old sin nature in us.
His first appearing He came and bore the sins, His return for His bride shows His return as the sinless Saviour and He takes with Him a sinless Bride. Next at His second coming He appears the Saints of the Tribulation as the Sinless conquerer coming to establish His Kingdom and no payment of sin is required.
No more sin offering is required, He paid the price and became the offering for sin. Notice verse 26 He put away sin by the scrifice of Himself.
Notice verse 10 of Chapter 10 "By the which will we are sanctified through the offering of the body of Jesus Christ once for all." We are sanctifed through His offering the issue of sin no longer bears upon us. Then notice chapter 10 verse 14 "...by one offering he hath perfected for ever them that are sanctified" He has perfected us, not on this side of the Grave or eternity but we will no longer have sin or a sin nature when we are with Him at His appearing.
Hebrews 9:24 For Christ is not entered into the holy places made with hands, which are the figures of the true; but into heaven itself, now to appear in the presence of God for us:
25 Nor yet that he should offer himself often, as the high priest entereth into the holy place every year with blood of others;
26 For then must he often have suffered since the foundation of the world: but now once in the end of the world hath he appeared to put away sin by the sacrifice of himself.
27 And as it is appointed unto men once to die, but after this the judgment:
28 So Christ was once offered to bear the sins of many; and unto them that look for him shall he appear the second time without sin unto salvation.
Followed by
Hebrews 10:1 For the law having a shadow of good things to come, and not the very image of the things, can never with those sacrifices which they offered year by year continually make the comers thereunto perfect.
2 For then would they not have ceased to be offered? because that the worshippers once purged should have had no more conscience of sins.
3 But in those sacrifices there is a remembrance again made of sins every year.
4 For it is not possible that the blood of bulls and of goats should take away sins.
5 Wherefore when he cometh into the world, he saith, Sacrifice and offering thou wouldest not, but a body hast thou prepared me:
6 In burnt offerings and sacrifices for sin thou hast had no pleasure.
7 Then said I, Lo, I come (in the volume of the book it is written of me,) to do thy will, O God.
8 Above when he said, Sacrifice and offering and burnt offerings and offering for sin thou wouldest not, neither hadst pleasure therein; which are offered by the law;
9 Then said he, Lo, I come to do thy will, O God. He taketh away the first, that he may establish the second.
10 By the which will we are sanctified through the offering of the body of Jesus Christ once for all.
11 And every priest standeth daily ministering and offering oftentimes the same sacrifices, which can never take away sins:
12 But this man, after he had offered one sacrifice for sins for ever, sat down on the right hand of God;
13 From henceforth expecting till his enemies be made his footstool.
14 For by one offering he hath perfected for ever them that are sanctified.
