Is it possible to split the low-level input to the amp from the source then merge left and right and then send it to the subs low level input? What would happen if I did that?
Yes. You use a crossover to separate the LF and HF portions of the signals and then merge the LF. You would have exactly what you are looking for.
There are numerous options and numerous problems.
Let's say you split before coming into the Pyle at all (something I mentioned previously). Then level matching the speakers and sub is your main problem. If you change the gain control on either without the other you'll loose level matching. It can be done if all volume control is from the source.
There are companies like minidsp that make active crossovers for this.
You could try to perform the crossover after the gain control and before the amp. This would mean opening up the box, severing the connections between the gain and amp, splicing in a crossover, and then running the LF out back out of the box.
The problem is going to be the high-integration level in a small amp like that. If we were discussing a full-sized AVR, where the pre and amp are a bit more discreet, I'd feel more confident that there would be an easily identificable bridge to step in the middle of.
Of course your last option is performing the crossover at the post-amplification phase. The problem there is that your subwoofer's amp does not support speaker-level inputs. You could replace the plate amp with one which does.