No doubt. Like I said, you have to kill something to eat it. I think, though, that fruits are actually intended (by the host plant) to be picked and eaten...because that's how the plants get help in propagating themselves far and wide. And the same would be true, I think, of corn, beans, nuts, and a great variety of vegetables. They grow deliberately so they can and will be picked and eaten by various creatures, which helps spread their seeds around.

Thus you are helping them fullfill their most cherised destiny when you pick their fruit and eat it.

When you cut down a tree, however, you are ending its destiny. You are destroying it. That's the difference.