Of course you can be taught music.
In fact, it is through instruction that you save a lot of time in learning what sounds "good" (aka harmonic). And a
good teacher will give you the basic tools you will need for your musical journey. It is a lot harder to learn once you've arrive at a bunch of self-conceived notions, and not everyone is willing to accept that some of those notions can be wrong. Dead wrong.
(For example, what if you went to a music teacher after a year of playing and the teacher told you what you were doing in fretting and picking were dead wrong because it could lead to wrist problems later on. Would it be so easy to change at that point vs. if you were a clean slate?)
Plus, you become sort of jaded about what you know vs. what you could learn. For example, one of the guitarists I know is self-taught. He knows chords, and arpeggios. He doesn't know what they're called. He gets arpeggios confused with scales, and keys confused with chords. It is somewhat hard to communicate with him. Now, I'll admit I'm not formally educated myself, but fragments of musical theory and books have seethed in enough to have at least
some clue what I'm talking about. When he says something to the extent of, "Then I climb the scale of G, and go to E, and go down that scale. After that, I strum in the key of C."
Wait,
what?
What does he say when I suggest he gets a teacher? "I'm good enough. I don't need a teacher. I understand what I'm doing."
Sure, but does anyone else?