Toaster Loving AdMech Boi
Of course there are neutral acts - they're things you do that don't have a moral component. A lot of them are pretty routine. Getting your chores done, selling your surplus at the market, using the chamber pot.... all things you do without significant moral character or implication.
Why would that not be evil? Does evil really have to be done to innocent people for it to truly be "evil"? Evil can't prey on other evil?
Naturally you should feel free to correct me if I have this wrong, but you're assigning neutral actions this constraint of "it must not have moral implications".
The problem for that assumption is: one can choose not to act, not to support the proponents or agents of either side of an issue/cause/group/conflict. One can also have ethical ideas that don't conform to notions like "good" and "bad". E.g. a vassal can be loyal to his retainer out of a sense of believing in the law, his society, etc. regardless of whether that society itself is very good or evil. His motivations are neutral but they don't exist in a vacuum, the same person is still considering all of the same ethical issues and questions about good and evil as anyone else around him, he/she is a person after all.