If you mean e as in the low e (fattest string if you have a 6-string), then yes, it can be a right hand thing. You could start your strum at the A string, and therefore leave the e string out completely. You could also use your left hand fingers to mute the string.
If you touch a string without pressing it down to the fretboard, it will usually be muted. The exception for this is natural harmonics (maybe you’ve experimented by lightly touching strings on frets 5, 7, 12, 18, etc. to discover the natural harmonics).
If you want to mute a string that is in between other strings that you want to play notes on, then it’s probably best to use your left hand. Experiment with touching strings to mute them. Play a G chord (not barre) and slightly lay down the finger you’re using to press 2 on the A string. It should mute at least the D string.
I hope this was written well enough to understand.