Can a car from the movie “Men in Black” (1997) drive through the tunnel's ceiling?

The film is over 20 years old , and I haven’t found any answers online.
I didn’t think much about it, but recently I was interested in this topic. I want to understand how close to the current technical capabilities is feasible. We will not argue on the subject that there are alien technologies, and it moves due to an invisible ray or antigravity.

So,
The very moment of the trip from YouTube. Before the trip, the car is slightly transformed: the clearance is reduced, the smoother shape is made, the engine nozzles are advanced.
Rear view after transformation



Consider 2 options for holding the car on the ceiling (if there are others - please let us know in the comments):

1. Due to the downforce of the car itself (body + flaps / spoilers / end plates / slats).
2. Due to rocket thrust engines.

First point. Initially, what comes to mind is Formula 1 race cars. This is well described in English ( Russian version ), how this can be. If we discard the option with the engine, the car generates sufficient (even excess) downforce at a speed of 190+ km / h, which can go over the ceiling.
The front wing gives a small part of the downforce (depending on the season, there are options + the teams themselves what they want and do). Most of the downforce comes from the rear wing, as well as the design of the car itself (properly directed air flows, a flat bottom with a bar and a diffuser) - this gives downforce (Bernoulli's law + Venturi effect in action).
There is no minimum clearance on the indicated car of people in black, and now they have lost some downforce, then the bottom is not smooth (although not obvious, because it is not visible). For example, in F1 on some races, where you need a good downforce (very critical on urban roads), such clearance that sparks are cut at high speeds (the lower bar pulls out the track).

source
( selection of the moment in high resolution).
These are references to the "ground effect", which used to be, now has simplified this element. Nevertheless, here is his description

Tuning cars with a “ground effect” was generally not an easy task, as the suspension had to be made as rigid as possible in order to maintain a constant ground clearance. As a result, the car just “shook the soul” of the pilots on the curb, and any attempt to make the suspension a little softer could turn into a sudden loss of stability.

From this it follows that for the full effect of “sticking” the lumen should be minimal, the suspension is stiff, and any change in the lumen leads to a loss of pressure. In our case, a fall from the ceiling.
I caught moments

when it is clear that the suspension is playing, and thus the effect of low clearance is not. In this regard, you can throw out the diffuser and its work, because in this case it will turn out as a decoration, no more. In addition, it is not on this modified car. During the trip, you can see how the car "plays" up and down, especially when Smith is trying to get on the ceiling. That is, the car is not "hard" stuck to the ceiling.

Next, the rear wing, which creates almost half of the entire downforce of the car. However, there is nothing to discuss, because he is not on Kay's car.

From all this it turns out that the car of the heroes of the film has almost no aerodynamic elements that would allow him to create the necessary downforce at the desired speed, and he would be able to hold on and drive along the ceiling.

Regarding the second point, I found an explanation. On this occasion, it is believed that it is suitable for kindergarten.

From all that is closer to our realities, it was only due to rocket thrust that the car drove along the ceiling, and not at all due to aerodynamics.
Please do not strongly humiliate, if I'm in something wrong.