Of course there is... there is a checklist for everything. But what I really mean by the title is that a checklist is not going to make you a master networker.
A checklist can list tasks, outline a plan or serve as a "reminder" but it can't build a relationship for you.
The shelves are full of 'how to' books on networking; some of them are even worth reading. :-) However, if an instruction sheet could solve our hesitations, fears and (sometimes) missteps for networking, we'd all be masters of the trade by now.
It all starts with "why" you are building a network which, in turn, informs "how". If you're not using a checklist to build friendships, then consider building professional relationships in the same spirit?