[Airbus Concept]

Yes. Most airlines in the US now use single-engine taxi as SOP
Normally, they are done on the same engine. Airbus planes, for example, use No1 (I don't remember which systems they power off the top of my head). The older 737s like to spool up #2 first, because it powers the A/C system (among others).

المصدر
https://www.airliners.net/aviation-fo...d.main/296704/