well I say yes and NO
as in droughts crops don't grow right and as such weights on deer can be down, as can racks and over all health of the herds in the area

as for cutting crops early??
some might due to they did plant a lot sooner this yr in many places, but with the dry weather, things are goring slower, so, maybe not

good things is , you can hunt water holes, they should be hot spots in many area's this yr, all the more so about crop fields, eating dry foods makes them thirsty !