Pretty much, yes. Almost no quest is required, so you can skip what you want. Although it does require you to have knowledge about which ones to avoid beforehand. For example, you can skip the whole quest for your aunt/cousin, which is the one with possession.
Almost no quest has requirements from other quests.
Also, even the NTR-adjacent stuff that happens isn't really NTR because it happens to characters which aren't LIs yet. I know this is a technicality that not many people enjoy, but I personally dislike NTR as well and I didn't have any issues with this game. The more problematic scenes (like the vampire plowing your mom/landlady) have been changed to where you can actually prevent it from happening.