Based on supporting hundreds of people using this hardware, it's not common, however that's of little use to anyone that has problems with their hardware. Two people did have issues, but once we got a video chat with them to see their setups - one had jewelry what was making contact with the case and the other was hovering their forearm / palm on the trackpad (and you don't have to actually touch the sensor for it to start to track). Both were able to change their habits and none were due to hardware, but I could see an overly sensitive / broken hardware cause this in theory.
I would get a backup - make sure you are able to restore from the backup and then reset the Mac and test with no personal apps / data / customization to be 100% sure it's due to a plain macOS install and your hardware before reaching out to Apple support for support.