Not a chance unless you have a credit card with a large limit and you want to put it on there.
Chances are the $1800 car will be a bunch of headaches too.
There is no magic getting rid of negative equity. And trading it, if you could, would only make a bad situation even worse.
Double or triple up on your payments for the next 6-12 months.
Nobody lends less than $5000 on a car and certainly not for an $1800 car.
The #1 mistake many people make is always wanting something different. Everytime you change cars, you lose a bunch of value.
Unless you just get lucky as heck and can sell yours at private party value and buy another at PP value.
I was a dealer for a dozen years. When I retired, I kept the same piece of crap for 12 years because you always lose a ton of value when you swap cars.
When my air went out and it was over a $300 repair, I bought a newer car and sold my old one. Got lucky getting $1600 for my old car because I had almost no interest and may have had to lower the price to $900-1000. I found a decent deal on a drug seizure for around private party value. But, in the last 27 months, it lost about $2700 in value. Normal depreciation. I have no plans on getting rid of it for at least 4-5 more years if not longer.
One trick I learned when I was about 24 and in the middle of a 36 month car loan was, NEVER AGAIN borrow on a car. I paid that car off in 19 months and have not had a car loan since. (I am 56 now)
When I paid my car off, I kept paying myself the car payment in a dedicated savings account. Then, when I eventually got another car, I had the cash for it already saved.
Google "Drive Free, Retire Rich" for details.
And yes, I retired at 40 and am a millionaire. These principles and my thriftiness made that happen.