Can you become friends with someone much richer/ poorer than you?

I didn’t think much about it before untill I recently got a new co worker who is much richer than I am, she is a really nice person, in fact I think that I never meet someone as nice and as sweet as her, and we like each other very much as persons and we had a lot of fun on all the occasions that we spent together.
She drives a Mercedes, lives in a 10,000 sq ft house, and take vacations over seas every month while I can’t afford to buy a car till now, live in a rented appartment, and didn’t go out for vacations the past five years.

I enjoyed her frienship in the short amount of time I knew her, but I feel deep down inside that this friendship won’t last, we can’t relate to each other when it comes to lifestyle, she feels that she will be a bad friend if she doesn’t pay when we go out togther, I feel like a bad friend when I have to make her eat at less expensive places because I can’t afford the places she has been used to.

I guess that in our relationship, I am a burden on her since I can’t afford to do the things she wants us to do together and I feel like she is a burden on me because everytime I have to try to keep up with her and lose a lot of money in the process which is something I can’t afford.

I would like to know what your thoughts are on the subject or on my particular situation?