Can I Make a 14-3 cable Using Two 14-2s?
Absolutely not.

All conductors in the circuit must travel together in the same cable (i.e. sheath or jacket) or raceway (i.e. conduit), NEC 300.3.  It would only be legal to use two sets of 14-2 if they were in conduit.  

The reason for this is inductive heating occurring between the cables.

Anyway, you need 14-4

You want to run three conductors: 2 messengers and a common.  That's the old way of doing it, and it's not legal anymore, because now you must provide a true neutral wire to each switch location.  That means 2 messengers, a common, and a neutral.  Get 14-4 or 14-2-2 from a proper electrical supply house, not the local bigbox. 

Beat the Christmas rush: go smart-switch

The reason for mandatory neutral is the smart-switch revolution (or to be more precise, the hokey, dangerous things people to do cheat a neutral when they don't find one). Instead of fighting, you can just go with it. 

Use a smart switch at the primary location, then use a smart-switch remote at the secondary location.  Some of them communicate via wireless or power line signaling, so you don't even need a datacomm wire.  Simple 14-2 will do it.  Others are entirely battery operated and don't need any wires run at all.