pede mong palitan any tire...kung di ka magpapalit ng mags/rim then dapat 15" pa rin ang diameter the same and ideally the outer diameter of tire should be almost the same as the stock.
pedeng ring smaller outer diameter (OD) walang possible problem pero unless lowered and auto mo parang weird yun. kung bigger naman baka sumayad naman sa wheel well.
pede ka ring magpalit ng rim (make it bigger) so automatic palit ka ng tires...dito naman dapat halos same din ang OD ng new tires mo para walang major problem sa wheel well fit and of course same PCD as your current rims/mags.