Question about Mobicool Mcf

Without a battery / power station in between, it will probably work (if you have a suitable charge controller), but not satisfactorily. I would definitely use a power station, e.g. from Ecoflow. This will give you a decent MMPT charge controller at the same time.
I also use my Dokio solar module and my Mobicool with a power station in between. It works great.

Addendum: I assume, of course, that the charge controller is included in the solar installation.

I would think that it needs a 12V battery in between, then it should work. The power requirement depends on a number of factors; the solar system only delivers the specified power "peak", so it could be tight.