Actually, He did!
Jesus answered him, “You would have no authority over me at all unless it had been given you from above. Therefore he who delivered me over to you has the greater sin.” (John 19:11)
Actually, the tree was neither cursed nor poisoned. God didn’t plant it there just in order to forbid their eating of it. He planted it there because He intended them to eat from it, but not at that time when they were mentally and spiritually immature. So He temporarily forbade them from eating from it. It was a tree that would help them to distinguish good from evil. Is it wrong to be able to distinguish good from evil? No.
The writer to the Hebrews wrote:
But solid food is for the mature, for those who have their powers of discernment trained by constant practice to distinguish good from evil. Hebrews 5:14)
As I see it, God wanted them first to mature, and to eat from the tree of life, and THEN to eat from the tree of knowledge of good and evil. There is no evidence that they ever ate from the tree of life, even though it was right in front of them, and it wasn’t forbidden to them.
But Satan wanted them to do things in reverse. This seems to be Satan’s way—to tempt people to do “good things” but a twisted good, so that it is in actuality an evil.