I'm gonna say they will probably go on the car, but not well. I wouldn't use that combo.
Wheels: If you have 16 x 8 wheels, I'm assuming you got them off an old Turbo Grand Prix? If so offset is +25 on those and 97-03 stock wheels are 16 x 6.5 with +52. I'm just assuming you have a 97-03 GP if I remember correctly. If so the wheels will have 8 mm more clearance and stick out 46mm more than stock. This will put the wheel pretty much even with the outside edge of the fender.
Tires: I wouldn't run personally. They are just off too much. 275 will fit on the wheel as you said. With the specs you said the diameter of the new tires will be 1.3" larger and 4.8% slower on the speedo. Not mentioning everything that could be thrown off by that much difference, I would think you will run into troubles with the tires rubbing. Especially now that the tires are alot wider and taller than stock. Also the car will sit higher.
So you could most likely physically put them on the car, but I wouldn't. Also to get close to the correct diameter with 16" 275s you would need 275/50-16, but I have only seen those in all-season and all-terrain tires.
Good luck. Hope this helps. I think I'm correct in my provided info.