You can but it isn't the safest.
That thermostat is designed to control 1 heat source. It can be used with more than one but what happens if one of the heat mats without a probe mad functions? Either the UTH stops working or worse it gets so hot that it can start a fire.
If you are going to use 1 thermostat to control 3 UTH's they all need to be the exact same, the cages they are heating are set up the same and you need to keep an eye on it.
They do make thermostats that have multiple probes
Such as the Herpstat 2, Herpstat 4, and VE-300 x2