No, each will download its own stream independently of the other. You could come close by having people press the buttons at the same time on both remotes to start the program but the lag between button press and start of the program will likely be slightly different on the two Rokus.
Roku Community Streaming Expert
I am not a Roku employee, only a user like you. Please, no support questions via private message -- post them publicly to the Community where others may benefit as well.
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Streaming Stick 4K+ 3821 | Streaming Stick+ 3810 | TCL Roku TV 43S245/C107X
