Yes, both directly (NIMBYism is generally worse in liberal areas) and indirectly (density makes everything harder and more complicated).

left-nimby's, as they're called, obstruct housing with price controls and other uneconomical demands on housing producers and buyers. Often they reject projects out-of-hand if they show any possibility of making a profit.

There's overlap of both progressives and NIMBYS and conservatives and NIMBYS.

Just as there are progressive YIMBYS and "conservative" (usually labelled "market urbanist") YIMBYS.

The left/right axis is inadequate to describe the dynamics of municipal politics. You need a second urbanist/conservationist axis to describe support or opposition for housing development.