Contradiction with Galatians 3:10
Romans 8:4 speaks of fulfilling the law through walking in the Spirit, whereas Galatians 3:10 suggests that those who rely on the works of the law are under a curse.
Galatians 3:10: For as many as are of the works of the law are under the curse: for it is written, Cursed [is] every one that continueth not in all things which are written in the book of the law to do them.
Contradiction with James 2:24
Romans 8:4 emphasizes fulfilling the law through the Spirit, but James 2:24 states that a person is justified by works and not by faith only, suggesting a different view on law and faith.
James 2:24: Ye see then how that by works a man is justified, and not by faith only.
Contradiction with Hebrews 10:1
While Romans 8:4 implies that the righteous requirement of the law is met in believers, Hebrews 10:1 describes the law as having only a shadow of good things and not the very image.
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.
Contradiction with Galatians 5:4
Romans 8:4 talks about fulfilling the law through the Spirit, but Galatians 5:4 warns that seeking justification through the law disconnects one from Christ.
Galatians 5:4: Christ is become of no effect unto you, whosoever of you are justified by the law; ye are fallen from grace.