Yes, you can use that (although it only has 4 channels). Perhaps an 8-channel version would be more suitable:
https://www.ebay.com/itm/8-Channel-...uetooth-WIFI-cell-phone-control-/320981535833
In either case you'll need the board connected to a computer and a power supply to work. The program for the latter board is very simple (the former board may require using the manufacturer's library; not sure).
As mentioned, you can get the program to be as random as you want.