Have you made other mods (silencer etc.)? Interested to know if a 500 will pull a 19T with the stock silencer, filter and ECU?
It would not typically be recommended practice. It's like asking, "Can my mouse carry this elephant?"
First, the bike doesn't really have enough power to pull itself in stock form, much less a sidecar outfit.
Second, reducing the torque multiplier on a bike with low torque, and then adding a much bigger load, and asking the engine to pull it at a lower rpm that makes less hp than before, is probably not a good thing to do. Lugging the engine is bad for it.
If you want to pull sidecar duty, lowering the sprocket to 17T would be a better idea, to get the rpms up in the power range earlier.
And doing the power mods mentioned would also help.