Yeah. The charging system can generate enough juice to run more or less every electrical system in the car as long as the engine is running. The problem is that it will drain again as soon as you shut it off.
Yes, you can likely get it started with jumper cables and another vehicle. However, it would be wise to have the battery slow-charged with a battery charger rather than depending on the alternator to recharge it. Alternators are designed to keep a battery’s charge topped up, not to recharge it from nearly dead. It might never fully charge it, and its life may be shortened from trying.