You can do this with some of the FX.... I recall playing around with automating the FX..... it involves using an envelope to control the on/off and doing it with midi. I had to set up a midi track, insert an envelope and link it to the FX in the audio track. Seemed like a lot of work to turn something on and off.
The easier way is to simply clone the track.... place the FX in it at the level you want, and use volume envelopes to switch between the 2 tracks. Zoom in to set the envelope on in one track and off in the other at the same exact time. If the track is... for example a guitar or a vocal, it's really easy to get those edit points spot on. Make the envelopes switch in the pause between the phrases.
I find this method to be so much easier and quicker to implement than the time it takes to set up the midi control envelope and link it properly to the FX in question.