It's almost always good to have some period of no contact. It takes time and space to sort out difficult emotions after a breakup. Seeing the object of those emotions impedes that process.

Friendship after that is possible, but will undoubtedly be a complex relationship that will take much attention and care to manage. Most of the time one (or several) simpler relationships will be better for all parties. Complete radio silence isn't the requirement, and lack of contact isn't the goal; it's a means.