Can a working class man date a girl from a rich family? and how?

Basically I have a new coworker at the firm I work at and we get along great
You can cut the tension between us with a knife
And my god is she charming

But I learned she comes from money
Not average money. Lots of money. And power and infinite
Basically a modern day aristocracy

Clearly we will reach certain differences in our hobbies and the circles we run in
She’s gets invited to premieres of art galleries
I cook eggs for my dinner in my small apartment

I don’t know how to bridge the gap and start something with her

(And yes it’s socially and legally acceptable where I work. Lots of people do it and have no problem)
Can a working class man date a girl from a rich family? and how?
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