Can you glue vinyl cove base directly to drywall?
Well you can glue them - that is really the only way to install them.   However I have redone quite a few garages...
I would just install azek or PVC trim boards - that's it.   Paint them whatever color you want and you install with finishing nails and don't have to worry about water (if done right they can protect your drywall from water on floor) and don't have to worry about pealing or replacing (you just repaint).
Not to dog vinyl cove (I have installed it commercially) but it really isn't a &quot;home&quot; product and it certainly shouldn't be used in areas that will see high temp and moisture changes.