You could probably get away with it, but it wouldn't be without risk. 1300watts pulls a little over 10 amps- the STC is rated for 10amps. If you preheated your HERMS water, the STC would go on and off much more rapidly, so you'd probably be ok, but there is still the risk of pulling too much and having serious problems.
I would NOT use it to preheat your water- going from tap temp up to mash temps would mean the STC would be ON for way too long- almost definitely overheating the internal wiring and ruining your STC, as well as putting yourself in danger for fires.
If you were dead-set on using the STC with 1300watts, I would DEFINITELY do as someone above stated, and wire up an AC-AC Solid State Relay- this would put the burden of the amperage on a much better piece of equipment.
I would NOT use it to preheat your water- going from tap temp up to mash temps would mean the STC would be ON for way too long- almost definitely overheating the internal wiring and ruining your STC, as well as putting yourself in danger for fires.
If you were dead-set on using the STC with 1300watts, I would DEFINITELY do as someone above stated, and wire up an AC-AC Solid State Relay- this would put the burden of the amperage on a much better piece of equipment.