A little bit more information would help a lot. So if you could answer the following questions:
1. Which synthesizer? Do you know the sysex to request a sysex dump or the sysex to send a dump to the synth?
2 Does the synth already react if you turn knobs or move sliders in your “panel” and vice versa?
But to answer your questions.. yes it is possible to send a dump or to receive one. And yes it is possible to save a dump. (See Dnaldoogs Universal Dump recorder in the panels sections of the ctrlr site.)