Typically not easily, as any extended wires will affect the capacitance of the terminals your connecting too, however those little gold interlocking finger pads, look to be resistive button pads, to which you should have more success.
Confirm this by checking if the under side of the buttons have a small black carbon impregnated pad that “shorts” the gold fingers when pressed down.
I agree with njanda regarding the resistive shunted pads. I suspect long wires on these pads (even if resistive) will be problematic.
I don't know how many circuits of RGBW's you have but an alternative is:
Change your LED controller for 4 PWM to Constant current drivers. Meanwell makes some nice ones and not too costly. You can then operate them from a single fibaro RGBW controller.
You would have to know:
what it the max current your leds will take.
How many LEDs are in series and what voltage do they need to reach max current.
this is the name plate, they are currently running on one constant current driver each. I made the mistake of connecting them to a shelly RGBW module and damaging them all - which didn't do down well!!
The part number on the device in your photo suggests the "driver" is built in. So my suggestion will not work.
The Maysee website suggests there are multiple versions with different control schemes.
Perhaps if you showed what you have someone might be able to suggest some direction.
Question: Do you have the devices working with the equipment you have?
BTW I know this is too late for your first round of testing but you should get some 100 ohm resistors to put in series when first testing an unknown configuration.
