Graduating from college in New Hampshire. Interested in a job opening in San Francisco. Is this possible?

How do you go about applying for a job across the country? I’ll be graduating from my college in December and moving back home to Connecticut afterward, unless I find a job in another city.

There is an entry-level job in SF in the non-profit/marketing sector that looks perfect, and I feel like I’m qualified for the position because I have a strong background in non-profit and marketing work (my degree is anthropology).

I’ll apply anyway because I guess it couldn’t hurt to try, but does anyone else have any experience applying for a first job across the country? Has anyone ever worked for a company that hired someone from far away? Is this a waste of my time? How can I increase my chances for getting this job (aside from moving out west).