If you had the right wrench....simply loosen the oil drain plug so it becomes a steady drip, or hell, the oil filter.....usually both are under the vehicle (though, sometimes the filter is in the engine compartment). Once the oil has drained out, the engine will eventually seize up and the car comes to a stop. Though, you'd have to have the right wrench size (which varies from vehicle brand to brand) and have to hustle under the vehicle and loosen it up and then brush the dirt off yourself. All.....if the vehicle was just running....it'll be hot...sometimes scalding hot and very messy....so have rags or towel to quickly wipe up with.
You could always loosen a valve stem core...that little thingie that presses down as you put air into the tire, or even cut the rubber valve stem....a slow leak will take a while, if you have days and no tire sensor it might work and remain undetected.
Or, take something jagged and saw/fray into one of the engine belts....sometimes there are more than one.....to run the pumps, timing chains, etc. Over time, the running can cause it to seperate and engine goes....chug chug sputter.
If you had time....pop the hood, go to the battery....if you had a turkey baster.....open one of the fuel cells on it, suck out the fluid and squirt it away (which is a violation)...and fill it with water....or leave it empty or partially empty. That'll cause the batter to fail over time.
There are other mechanical failures you could do, but they take time, and tools. If your trying to do this on the "down-low" you have to make it look like an accident.
Heck...take water and pour it into the oil fill cap.....or the power steering brakes. It'd make the vehicle sluggish. Water in the oil will keep it from cooling properly and could overheat the engine. Water in the power steering could make the brakes soft to non-responsive. Maybe drive something sharply into the radiator if you can access it.....by damagine the cooling fins on it, that allows for less engine to be exhausted to the outside air, and could lead to an overheat.
Have your character keep an eye out for nails, tacks, pieces of wire. Hammer then into the side wall of the tire...most shops will not patch them...some will though. That would slow things down. When the vehicle is parked, place them under the tire so as the vehicle moves forwards, the weight of the vehicle drives it into the tire crown (top). New tires aren't cheap....and dismounting and mounting takes time....specially if you have no experience in it. It'll be a slow leak, but depending on how the travel time is, it might work.
And, it could help to know the type of car.....if it's a newer one, it'll have a CPU of some type. If you can crash that, it'll run them about $3,000 for a new one. Or go to the fusebox, and pull some out, smash lightly and replace. If it's a muscle car of older orgins, mess with the mass air flow, jam something into it. Take a hammer to the tie rod or control arms....but that would be noisy and take muscle.
Hope that helps.