As skydnsr rightly pointed out, it's possible that medications for bipolar disorder can cause restless leg syndrome. Here's a journal article that discusses one known example of that:
http://www.ncbi.nlm.nih.gov/pubmed/24135842
Otherwise, there is nothing in the scientific literature to indicate a connection between bipolar mood disorder and restless leg. Are there any other questions I can help you with?
Best wishes, H.
No, they're generally not thought to be related. There might be small possibility that one of your psychotropic medications is causing the restless legs symptoms as a side effect, so you could ask you psychiatrist about that, if you haven't already.