Thanks, Asiong, for your belief that I could but as I said, I have no experience with using/choosing FET parameters (at the CMOS process level). I can't design the FETs themselves.
If you want a design using existing specific FET models included in the component library that comes with LTspice, then googling "low dropout regulator schematic" gives you many options to study and perhaps use as a basis.
It would help to know what course work your design brief is meant to be based on.