Not with the GE. There are some people who have tried various double tap options based on special device type handlers or smart apps which try to time the pause between the taps. But because of the cloud latency introduced by the smartthings architecture, these just never work consistently.
Instead, you want to get a switch where the single tap versus double tap is captured at the switch itself. Then the switch just sends a code to the smartthings hub to tell it which tap pattern was used.
Homeseer recently introduced a line of switches which do exactly that. You have single tap, double tap, and triple tap on both the top and bottom of the switch. The switch then sends a single code to the smartthings hub for each of these options. 
Community discussion in the following thread (this is a clickable link)
With the Homeseer switches, you could do what you described. And they look just like a regular rocker switch.
https://www.amazon.com/HomeSeer-HS-WD100-Z-Wave-Scene-Capable-Dimmer/dp/B01DFRWZNE/