iPhone screen periodically unresponsive
No, not as a general issue across all apps.

Some apps such as for example Safari may be "slow to scroll" (for example web pages that have Javascript scroll handlers that do not declare themselves as never calling preventDefault() can be slow to scroll).

However, if you see this as a general problem across all apps, and you have to powercycle the phone - it sounds that a hardware problem is likely.

If the phone is still under warranty - take the issue to Apple Support. If it is not, you could still try Apple Support.