@nooploop
It is possible to be friends after a breakup but personally, I'd agree with @enthusiasticPenguin1912. It is bitterly hard to try and continue to be friends immediately after the breakup and may be better if you first allowed yourself and your ex some time to heal.
Breakups are very much similar to the mourning process when a loved one passes away. For me, what makes it harder, is that the person is still around and if the mourning process is particularly difficult I may well try to rekindle the relationship, prematurely and end up hurting each other even further by having to break up once more. This could also potentially jeapordise the possibility of being friends later on.
Give it some time and allow yourselves to heal before trying to reconnect as friends.