You can, but what often happens, even with just 2 is, 1 May receive the signal, other won't, then they are out of sync(Pressing the light button may turn 1 on, and turn the other off).
Then you have to try to get transmitter to be received by 1 to get back in sync. With 4 this will be tougher.
Try it, If you have a good strong signal, you may not have a problem.
Good Luck
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