Is it possible to go snow skiing with raynaud's phenomenon?

Probably not. Cold temperatures are a main cause of raynaud's phenomenon, so snow skiing can trigger symptoms. If a person has only mild symptoms, and can keep his hands, feet, face, and ears warm with the newest gadgets (such as heated gloves and socks), and he only goes to the slopes on sunny days, and just rides the gondolas rather than the open chair-lifts, maybe he will be ok, but that's a big maybe.
Yes. But you may have symptoms with the exposure. Dress well, mittens, warmers, etc.

Related Questions

Is it safe to go snow skiing even though I have raynaud's phenomenon?

Usually yes. Unless your disease is very severe than it is generally safe to go skiing is you take precautions to keep your hands and feet properly protected and keep the times outdoors to a prudent length.
Yes. But go on warm days and have good warm gloves and boots.

Raynaud phenomenon syndrome question. Is it really that or poor circulation?

See below. Raynaud's phenomenon describes a set of color changes in response to cold or stress. These are usually preventable and treatable. Poor circulation does not have those changes.
Color and location. Raynauds causes fingers to turn either white, blue and/or red usually in the cold. Poor circulation is different because it can affect palms and usually the border of the color change is a smooth transition. Raynauds usually has a distinct line between normal and blue /white.