depending on the backspacing and many other variables maybe. I run 235s on my factory rally wheels, on a 69 and they do not. But i have different springs and other factors to keep them from rubbing. They will sometimes rub the frame, barely at all, not even enough to remove paint on a lock to lock turn.
What size tires are you running now? Original springs - how do they look? Stock height, stock Camaro rally rims (4.25 backspacing) not vette rallys (4.0 backspacing) 235/60/15's should fit just fine with no rubbing.
I've experienced minor front fender rubbing issues with 235/60r15. If anything, you will have to give the leading lower edge of the wheel opening a little thump with a big hammer and then you'll be good to go. If you cannot bring yourself to do this, then err on the side of caution and go with a 215 or 225
Mine with 235/60/15 15x7 4.5 backspace setup on front with big block stiff one inch drop springs. Never rubs when normal driving. If going full lock on sharp turn then it'll rub the subframe, so I just have to remind myself not to go full lock when parking and turning sharp. The tires look great in there nice and snug.
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