sure you could altough results can vary. You need an EQ. Basically you just need to take a split pre the compressor, from the track. You could mult the track in analog (patchbay on an analog console), or if you're using a DAW or HD recorder, just create a duplicate of the track. This split shall not be bussed to the main mix, obviously. Send this split to the EQ and the output of the EQ to the compressor' s side or key chain. With the EQ, they key would be to enhance or "spot" the frequency bandwidth where the most eSSing occurs so that this is used to trigger the compressor. You need to tell the compressor what its going to use to trigger the compression, so it is very simple, just enhance the frecuencies that you want the compressor to be triggered from. This range would probably be around 6k-8k...but don't take me for granted...experiment...This means you obviously have to add gain to enhance those frecuencies.
The ideal would be to use a dynamics device that only affects or can be set to affect a certain frecuency bandwidth, such as a deesser or a multiband compressor, but well, you could say this is the poor man's deesser.