You need to understand that the transmission of your car is in park state (for those cars that are constructed with automatic transmission mechanism).
Bring in action the parking brakes so that the car doesn’t slip down farther especially against the curt because it will just ruin the whole thing for you and drown you further into the problem.
Try this once. Move the steering wheel with a bit more power than you usually apply but not that much that it rips of the skin of your hands. Just find the middle grounds between gentle and rude and pull the wheels with that amount of power.
Leave the parking brake until it reaches its original location and then shift the transmission to the neutral state. Never put immense pressure on the pedal that the car actually jerks before starting but place a gentle touch so that the car starts to roll off smoothly or just rocks off a bit from the original position.
Move the steering wheel to provide some motion to the wheels and then turn the ignition on via key. The car should start without any problem now or else you are going to be late for sure because it’s just not the ignition issue with the car if this trick doesn’t help.