Unfortunately, no you have to do the backup juggle. Hard drives moved between any two PS4s will have to be reformatted as they're encrypted with a unit-specific key. I had exactly the same situation and wound up doing the following:
- Delete enough games that I have on-disk or otherwise don't intend to play to get safely under 1TB
- Connect the two systems with an Ethernet cable and use the transfer process
- Explore enough to get the immediate need out of my system
- Back up to an external USB drive
- Swap the physical drives and restore the Pro (or both, if desired)
This approach had the advantage that at no time did I risk not having a working copy of everything. The original PS4 was safe until everything was up and running on the Pro, and then that 1TB drive remains untouched until I verified that everything restored as expected to the 2TB disk.