Well, this thread got pretty messy pretty quickly. That's a bummer.
Not trying to be disrespectful to Despite here, but most of what he said isn't going to help you, as I'm sure you've figured out. Craig (CS FIlms), pretty much nailed it on the head however. Like he already stated; yes this is very possible. You just need to handle yourself professionally and find the correct person to contact. Finding the correct person to contact is usually as simple as going on the mountain's website and going to their media room (or equivalent, and finding their marketing director or someone in a similar position) and shoot them an email. Be professional, show them an example of your past work and explain why you want to go to the mountain, and what you can do for them in return for letting you come up and shoot. This is often either an edit that they have rights to put on their website, or simply to just give them your footage (if they have someone in house who does editing, not all that common actually).
Contrary to what Despite said, this is a very common thing and it's the big resorts, with larger marketing budgets, that are more likely to have you. For the Gold Project, I can usually get 4 tickets where ever I want to go, just make sure you give them about a week's notice because setting up the vouchers sometimes takes a while.
However, don't try to pull this card if you're not actually there to shoot and produce something that the resort will benefit from. If you've actually got people to shoot where you're going, and you're actually going to put time into shooting, then definitely go for it. If not, be respectful to the mountain and get a ticket by other means.
Hopefully that helps. Let me know if you have any more questions.
- Galin