Not a native, only just learning myself, but... For "may" or "might", you can use the structure "I don't know if...". So "I might be able to meet you today." = "I don't know if I can meet you today." Same meaning, right? In Korean, that is -는지 모르다. So I think, "I might be able to meet you today" = 오늘은 우리가 만날 수 있는지 모르겠다.