I agree with Vic, re Honda cam chains.
However to answer your question, if the chain were to jump a tooth or 2, then yes, almost certainly the piston would hit a valve and probably bend the head, so that the engine would not run and would require a strip and rebuild, or an exchange engine. So, just be thankful that this is extremely unlikely with a Honda engine.
I recall, as an apprentice over 60 years ago, I did a stint on engine assembly at a midlands 4x4 vehicle manufacturer, where I assembled the valve timing. It was drummed into me, that one tooth out of position, would be disastrous!!