Not where I work.
You can't free dial out, the (satellite) phone has a restricted list of pre-programmed numbers you can call (e.g. Operations, Medics, that sort of thing).
Once upon a time we used to be able to nip back into the cabin and use the pay by credit card system the passengers had access to but that has now gone...apparently it was so expensive nobody used it.....
As Dave mentioned at a push you could patch a call via HF....