No, other than some experimental branches, as far as I know LinuxCNC does not support any USB motion cards.
This is because LinuxCNC runs in real time and all motion control is done in the host PC not the motion card.
Reliable real time access to USB hardware is quite difficult...
LinuxCNC does support Ethernet (and EtherCAT) connected motion cards however.
If you are just repairing a system with a failed PC that has a parallel port interface to your hardware
Is probably easiest to stay with parallel port hardware, since that will need the fewest configuration changes