Can't I say "She presented me to her friends" ?
As a native English speaker I would say that. It expresses a more formal sense of introducion.
That is a not a very idiomatic English expression. It sounds like you are directly translating from another language (many Swedish speakers say "presented" here in English and it sounds wrong).
I could see it in an ironic sense.
Adding this now, two years later. :)
Wow, a necro-poster moderator :)
Can you use till instead of för in this situation?
Nope, doesn't work.