Yes, as Chris said - you can. They'll fit and likely won't have any issues.
That said,
Bridgestone recommends a 6.0" to 8.0" wide rim for that size tire. The OEM rear rims at 9" wide exceed that recommendation. Just something to be aware of to make an informed decision. Personally I went with stock sizes front and rear for my winter set (Blizzak LM-25's on OEM 18" wheels, 225/50 front and 245/45 rear).
225's in the rear will have better snow/ice traction than 245's, so if you plan on lots of this type of driving then yeah go with the 225's all around. As long as you take it easy when there's weather and don't drive stupid you'll probably be fine either way. Good luck!