Can you add a 2nd middle name after marriage?

Not planning on getting married but this is something that I’ve been wondering.

Is possible to change your name to Firstname MiddleName MaidenName (as a 2nd middle name) HisLastName after marriage?

I could see myself doing this because I’d like to change my last name but still retain my maiden because it means a lot to me and my family name is very big in the field I’m going into because many relatives are involved in it. So it means a lot to me to keep it.

I also want to keep my middle name because it goes GREAT with my first name and it’s a relative’s name. So I can’t just drop it.

Just wondering if anyone else has done this. I’m in NY btw (not the city!).