Can I go to a concert without my boyfriend?
Maybe. Why would you prefer to go without your boyfriend?
Because he's not into loud music
It's understandable if you want to attend an event that you know your boyfriend would not enjoy. However, you should still invite him to the event. If you invite him, you at least give him the opportunity to decline and he will know that you didn't intentionally leave him out.
No way I'm going to invite him. I would have invited him if he was into that kind of music.
But he might feel hurt that you don't even want to ask him. He can make the decision himself if he wants to go or not even though it is not his type of music.