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

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.

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.