Probably. Last time I had to help a co-worker who left her lights on. I've done it enough times to do it correctly, and I've got cables in the back of my car. Had to decline someone once because they insisted they need a jump, although their car cranked mightily but wouldn't run. Tried to explain that their battery was not dead, but they wouldn't listen and seemed rather annoyed that I wasn't going to make a futile effort to try jump starting. Apparently folks have it in their minds that a jump start is the cure-all for all cases where the car won't start.
If the battery is maintaining enough voltage under load that your starter is cranking along normally, it's also maintaining enough voltage to keep the ECU, fuel pump, fuel injection, and ignition working, so it's flawed logic that maybe it has enough juice to crank but may not have enough juice to run the other things; it doesn't work that way. It's the other way: Weak batteries may have enough oomph to light up the dash and possibly even run the engine, but if you crank and the starter is barely turning, or the starter solenoid keeps dropping out because the voltage is drooping too far (lots of loud clicking), then a jump may get it going.