Yes; I'm using the provided charger. I have run into similar issues previously, two examples:
1) First-gen ASUS 1005HA AC adapter could trip if you pushed the system hard while charging a depleted battery. It took three hours for the sealed internal breaker to cool down, and it only reset if unplugged and replugged. A BIOS update curbed the system appetite for power, lowering the estimated charge time by more than 1/2hr while running, and increasing battery life by 20%. Charging while shut down was unaffected.
2) DFI LANParty NF4 was one of the first "ATX 2.01" motherboards. When powered on, high-quality ATX 2.0 power supplies would detect that the five-volt standby line was exceeding 2 amps, and instantly cut power to minimize short-circuit damage. You would have built a dead computer. The fix was swapping in a 2.01-compliant supply like the 600W Enermax Noisetaker, after which the system would run perfectly. A .01 difference in hardware spec, HALF AN AMP ON ONE WIRE. Version conflicts are not limited to software, always check for known issues when building a PC.