I do not think so, but I know in any case that it is possible to propose to the person to connect from Facebook
You have to use the official Facebook addon for Construct 2. (Directly integrated in construct 2)
I also searched, and found this plugin, which is a copy of the official, but better (which gives more information)
You can, once the person connected, get his unique id, and for example connect to a server with as id its id.
I'm used to making servers and clients 100% with Construct 2, so for me it's possible to have someone log in with their account on a hosted server.
Hoping to help you at least a little bit.
PS : Please forgive my English because I am French