I just looked up "regret" and it says: "to feel sorry and sad about something previously done or said that now appears wrong, mistaken, or hurtful to others"

I just looked up "regret" and it says: "to feel sorry and sad about something previously done or said that now appears wrong, mistaken, or hurtful to others" So, yes, if you regret something then, by definition, that means you wish you hadn't done it. That's what calling an action "wrong" or "a mistake" /means/.