Yes, almost certainly. Put something sacrificial on the endangered location, like a bit of electrical tape, and plan to refresh it when needed. I got lucky, the common red electrical tape matches my bike perfectly. This may also be a suitable application for "helicopter tape", which I see mentioned here to protect chain stay paint but I haven't used.

FWIW, some new steel frames have stops brazed on to the headtube, right where you can expect rubbing. I haven't seen bolt-on head tube stops. It think nobody has come up with a reasonably unobtrusive design yet, but somebody may.

oldschoolbike