Conclusion – Impeccability : Temptation implies possibility of sin in general (humans) but not in specific (Christ). For instance, the testing of gold implies the possibility of things not being gold in general, but not the possibility of pure gold not being pure gold. The end of testing gold is to distinguish true gold from false gold. Thus, Christ’s not falling in sin proves He could not sin. Since, Jesus is God and sin is rebellion against God, Jesus could not sin, for it is impossible for Him to rebel against Himself, unless His omniscience and omnipotence were brought into question. Thus, being human, He was tempted, but being divine and undivided in His moral nature, He was essentially holy and so could not sin.
Arthur Pink, The Impeccability of Christ
Got Questions, Could Jesus Have Sinned?
John Walvoord, The Impeccability of Christ