Unfortunately, Philip's link doesn't work for me.
Is it possible just from adding? Nope. When you add, you just exchange contact details and see each other's information, but nothing malicious can be done by pressing accept. What happens afterward, is an issue. If they send a link or a file and it contains viruses, if you download it, you can be infected. I generally used to avoid skype links and files as a whole.
Is it possible to get it from a call? Nope. You can freely talk to someone without any issues. Although, if nothing has changed from a while ago, you have access to person's IP during the calls, not sure though.
As for my opinion, I have stopped using Skype in general due to it being a massive security issue, the constant...