Yes it is ! I had a break up a couple of months ago and had to block Skype, e-mail and everything. Best thing I ever did! Time to move on and be free of all contact. Much easier on you that way!
How to move on after a breakup? Is it necessary to cut off all contact on social media, mobile, etc?
You could, but why? Don't let your other partner feel that you're sad, keep everything open - you got other people you need too.