Would a bad pvc valve cause a 2008 Ford Fusion to smoke when going up hill

Not necessarily
the purpose of the PCV valve is to vent the compression gases that by pass the rings into the sump back through the inlet manifold and so have the fumes burnt before going out the exhaust pipe
There fore it stands to reason that if you have worn rings/ broken ring or cylinder scored then there will be excess compression gas to the sump which tends to boil off the oil or actually burn the oil fumes in the sump and this excessive smoke will find its way back into the inlet manifold and if too much ,out the exhaust as smoke
when going up a hill that amounts to extra compression being exerted on the rings and pistons and a larger part of the compression gas into the sump and out the rear as smoke
I suggest that you have a compression test done to gauge the condition of the engine, an oil pressure test done with a mechanical gauge to measure the oil pressure to determine the condition of the bearings as excessive bearing clearance will overload the weak oil rings and that will also cause smoke out the exhaust
you have not mentioned the mileage done by the motor but as it is 2008 model and calculating the average mileage covered for that year vehicle I am thinking that the motor may be a bit worn
however the suggested tests done by an accredited service shop will give fairly good results to determine the next move