William, I’m a certified technician. Is this corolla equipped with automatic transmission, or manual ( stick shift )
That little car is capable of doing that every now and then, the only issue is that if you do it very very often that little transmission will give out, even if the trailer is a small one, I still wouldn’t recommend it for too long.
This may be an ok option for the time being, but eventually you will need a bigger pick up truck, van, or a combination of truck/van and enclosed trailer. My 2 cents. FastFreddy.