In my opinion, no.
I chalk just about every time before I shoot...it is a big part of my pre shot routine. As long as the edges of the tip have chalk, that is really all that matters. (the middle of the tip is the only part that really doesn't even need chalk...it's the edges that are critical)
There is an awful lot about this game that is mental. I believe you will find players who believe different chalk will make them play better. And if they believe it, they may be right.
My biggest gripe with some brands of chalk is that they tend to get a little messy. Keeping a towel handy resolves that issue for me. I use Master chalk with no problems at all.
Again, just my opinion, based on half a century of playing.
Steve