Short answer no, if you are registering the FTD to FMC for first time. You can use one of below options as a workaround. Furthermore, once you register the FTD to FMC, you can configure any other data interface to communicate with FMC.
Those workarounds are illustrated using FPR-1010 model:
Option 1: use L2 switch to connect both the data interface and management interface, then connect the L2 switch to the network where FMC is reachable from.
Illustrated on this diagram
https://www.cisco.com/c/dam/en/us/td/i/400001-500000/430001-440000/431001-432000/431135.jpg
Option 2: Is to connect MGMT interface into another interface, then make this interface and data interface where FMC is reachable from as a switch interface.
Illustrated on this diagram
https://www.cisco.com/c/dam/en/us/td/i/400001-500000/430001-440000/439001-440000/439773.jpg
Hope I answer your question.
