Connecting Several Motors to a Servo Trigger and Single Switch

So I’ve just recently started to get more invested in robotics as part of a project I’ve been building for a few years now. It’s taken me some time but I’ve managed to finally find the component I’ve been looking for; the Servo Trigger board, in that it does exactly what I’ve wanted my unit to do. I’ve received one and a motor and am awaiting the pins to connect it all.

What I want to know is if it’s possible to have at least four servos operating in unison on the same board and battery via a split cable, either as a 2-to-1, 3-to-1, or 4-to-1, wired to a single board to be controlled by a momentary trigger switch or if it would require the need for multiple boards and separate cables. My main goal is to have them be used for a 4-panel door that is mainly locked in its closed (A positon) state about 90% of the time with the trigger switch having all four pop up together and close together.

Apologies in advance for sounding like a noob about this, as this level of electronics is something new for me after having used makeshift stuff for the past 10 years.

That should work just fine as long as your power source can supply enough current to operate all 4 servos at the same time. They should all move in unison.