Yes, 275 will fit on a 10" rim. 275mm = 11", so the section width is wider than the rim. with a tread width of around 9.75", the tire is only slightly narrower than the rim. Not ideal, but not awful either. My Bro runs 275/60 on 10" rims on his Charger. Looks decent.
However, I'd be more concerned about fitting a 5.5 backspace wheel on your car with the stock rear end housing and stock location springs. See below the picture of my 295/50s on a 8" rim with 4.75 back space. Granted, a 275 will have less sidewall bulge, but your also adding .25 back space to the wheel.