If you want the rainforest to remain, then pay for it to remain. Otherwise, let those who own the rainforest use the rainforest.
Such a question is answered by blatant hypocrisy every time.
We can't champion private ownership while denying private ownership to others. Especially when you have no control over said land.
It's cliche to blame capitalism, but it is capitalism that has given us a distorted view of the world and of the concept of ownership.
Of course we can. It's called colonialist and it's what made Europe and USA the economic powerhouses of the world.