I fell on the ice right on my chest area, now its all sore, its not stoping me from breathing or anything , it just hurts, will it go away by itself?

Expect it to resolve: Sorry about you fall. A deep muscle and bone bruise or contusion is common after blunt trauma, for example after a fall as you have experienced. General advice would be to not do anything that will worsen the pain which may be a challenge with chest trauma. Expect that it will resolve in several weeks ,but see you doctor if the chest pain worsens or if you have any worsening breathing symptoms.