Not sure what the issue is, if callouses, sore spots, aches etc.
But as a rule no, not really. I used heavy flats 130-110-90-70 and have changed to 120-100-80-60 recently, but that was for the sake of my guitar neck more than any physical thing.
These days modern string cores take the tension and let the winding deal with the feel and tone so to speak.
So a modern 'heavy' string is a lot less dependent on the whole string to create the tension, often associated with a high action, to give it the clearance from bridge to nut over the fretboard. Today's modern cores can support, lets call it a fatter string winding, with much less tension and a lower action than strings of yesteryear.
That said, I still use many different string types and gauges, but it is the thinner gauges that I sometimes get caught up on. The string has got under what little fingernail I have on occasion and have me sort of cut.
I can only assume that the fatter flat wound string cannot get under the nail so easy. It is mainly when pulling funk lines or bends, on the fretting hand it feels like the string 'rolls' when I bend it up or down, so it rolls off the finger tip and under the nail. This is in part to the low tension of the string ( Funk Masters ) and the set up of the bass to have the strings 'loose'. Sometimes on the pucking hand when coming into a snap I get the same thing, but that I would expect as my finger is trying to go through the strings to 'catch the snap ' and it is just me being a bit aggressive on it.
One more thing it may not be you. I have had brand new strings, in days gone by, that were just faulty, the finish was not good, maybe a bit harsh because they were not polished of correct, so they hurt your fingers. Even sometimes a core where the string is not fixed correct and it rolls freely about whe you play it. Sometimes we take for granted that a new set of strings can have faults. We get used to them being perfect that we assume it must be us.