Well, the NT Greek, whenever they talk about sin, its almost always a noun and not a verb. There are only very few occasions when the word sin is a verb, when Paul said "Shall we sin more so that grace may increase" Romans 6:1
Sin is a noun as in "sinful nature", so when the Greek in the NT stated that Jesus did not sin, the sin is not referring to actions but his nature. He had no flesh in him that sin could get a grip on.
My view is that it is "impossible" for him to sin. When he was tempted by Satan at the wilderness, its for Satan to know for sure that Jesus is pure gold, Satan's temptation will not work on him.
It may be a difficult view for people to accept at first, personally, whether you believe either way, it does not matter, its not key for salvation.