It's indeed hurt to move on without closure because healing is different from closure itself.Yes it's possible to heal without closure but it takes time and a lot effort.There's still that pain you keep holding on and still left.But in order to fully heal ,you need to give yourself a time,you need to weight and realize what you have lost especially if that break up had a significant meaning to you.It's not impossible though to move on without closure,all you need to have is a long patience and of course discipline in yourself.It all begins with you.You just need to have a time frame for figuring out everything.Avoid holding you emotions or feelings in or else it will just deepen the pain and will give you depressions and anxiety in the long run.You can ask her to communicate with you by then ,but if there's no response at all,that's a powerful sign that you need to learn to accept everything and move on.There's alwsys a reason behind that "no response."
Avoid self blaming.It will only create a negative feelings towards yourself.Stop focusing on your imperfections.Just learn to let go all the hatred,anger ,and forgive and just hope for the best for her.Try to reflect and learn from your experiences and focus on your present.