If you search for Pink's real name, Alecia Beth Moore, on the messaging service Skype, then you do find a few results.
One of them is a user with the username alecia.beth.moore and her location states that she's in LA.
I don't know whether it's an impostor or not as I haven't sent them a contact request - but I do know that Pink moved in to a luxury home in Malibu with her husband Carey Hart back in 2010, so it's possible that she's in the Los Angeles area and using Skype...
This is a picture of the place they bought together:
And here's a photo of the happy couple, just in case you need to identify them from their Skype profiles: