Not necessarily driving. It could refer to a car, yes, but also to a bike, horse, elephant, camel, boat, bus, train, dog sled, submarine, ski lift, elevator, forklift or any other vehicle.
First I answered the same but then I deleted it.
I am not sure here, even the English too much can mean the same as very much in "I don't have too much money."
Still it is probably better to require a more literal translation.
Good point! But here's my thought on this exercise in particular...
Cop pulls you over because you were driving above the posted speed limit. S/He might say, "Here's a ticket, and you'll have to pay a fine, because you were going TOO fast."
Here, "too" definitely means faster than you should have been, given the speed limit. Whatever your speed was, it might or might have been VERY fast, depending on the reasonableness of the speed limit.