Yes, a person can accept your apology and forgive you for what you’ve said, but they will never forget how you made them feel at that very moment. Words can stick in a person’s mind, heart, and spirit long after the words have been spoken. Don’t be in denial; words have GREAT power. Be wise when you speak!
By the time most people say 'I'm sorry' it is already too late.
You can edit what you write. Why not edit what you say? If it hurts somebody, you can still offer an apology or withdraw your statements
You just can't apologize for being you nor for your emotional self, nor for your intellectual self, nor for spiritual self, nor for your physical self. It's all a part of who you are, signal that you don't value who you are, once that occurs you have a serious work to do, to get back to where you need to be in order to move on in life.