No, God does not.
In hebrew the word there is נָסָה the KJV translates it as "tempt", but strong's translates it as "to test". In fact if you check out other translations you'll find thats how they translate it as well.
So what was God doing in Genesis 22? Was he tempting Abraham or testing him? Reading on in the chapter God makes it clear.
2 “Take your son, your only son—yes, Isaac, whom you love so much—and
go to the land of Moriah. Go and sacrifice him as a burnt offering on
one of the mountains, which I will show you.”
12 “Don’t lay a hand on
the boy!” the angel said. “Do not hurt him in any way, for now I know
that you truly fear God. You have not withheld from me even your son,
your only son.”
God was testing Abraham to see if he feared Him. And because of Abraham's obedience and faith he was blessed and so were we.