Is cellular phone functionality in an iPad theoretically possible?

Yes, it is theoretically possible. For example, the first iPad Air in the cellular version has the same baseband modem IC chip that the iPhone 5 has.

However please note that it is not possible for a third party app to in any way "activate" or "reconfigure" the voice capabilities through that chip. Only Apple could, theoretically, add cellular voice capability to the iPad. In my opinion, that is not likely to happen at all.

You can add voice capability to the iPad using methods other than a cellular carrier - for example via traditional VoIP or cloud services such as Skype and similar.