No, as these are things they must do to survive.

If you really want to get to the nut of “The Problem of Evil”, you get into how many acts of personal survival impinge on the welfare of others.

However, if these creatures were designed by a creator in such a way that they had to perform “evil” to survive, then they are innocent and the creator is evil.

And if there is no Prime Designer? Does that mean they are evil by their nature?

Again, we’re hand-waving the term “evil”. One of the biggest problems of The Problem of Evil is defining evil. Because, God or No God, what we’re headed towards is a very nihilist philosophy of existence itself being a malicious force.