Most will, yes. In order to perform the vector calculations, there are sensors looking at very minute deviations in the phase currents to help the drive understand what is happening at the motor.
That said, there is no "technology police" organization that confirms what a VFD manufacturer is calling "flux vector control", I have seen some very egregious examples of outright fraud in that respect over the years. If it is a manufacturer with a widely accepted market presence and a reputation to maintain, it should be fine, but if it is a no-name piece of junk from China bought over the internet, you have no idea what you are getting.