Oh, hell yeah! I make my living through enchantment. I won't go into details in the public forum, but planting thoughts, manipulating emotions, taking advantages of situations, strengths, weaknesses, etc. are all part of that. Yes, much more subtle, than what most folks think of as spells, but in many ways much more powerful.
I do not personally believe that everyone can or should practice this type of magic. Given the right circumstances, anyone could enchant; however, intentional manipulation of others' wills is an advanced skill, which requires an insane amount of personal responsibility, as there are potential risks to self and others. My access is through my Empathic ability. I assume there are other ways, as you have mentioned.
Don't know why I didn't see this before. I do this as well. I agree with the highlighted points. I have learned that the hard way by "playing" with people. I haven't given it a name before, though enchantment fits the bill.