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Nothing wrong with jumping a bike from a car. The reason you shouldn't have the car running is not because the car will deliver too much current, but because of the differences in the generated electricity in the two vehicles.
Cars use alternators to produce AC, it is rectified to DC and smoothed by the battery. Car electrical systems are designed around this.
Many bikes still use generators, producing DC, it doesn't need to be rectified (but the battery still smooths it). Some use alternators, and need to be rectified.
The difference is that the car alternator is much stronger, and the battery(s) may not smooth the output of that alternator enough for the bike's electrical system to handle, thus potentially producing voltage spikes that could damage it.
Current is not relevant, the bike won't pull more than it needs. Just don't short the cables together (this goes for jumping any vehicles).
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