The cat can probably take an enormous amount of love. I recently met a woman who had adopted
her sister's cat because the sister had been told by her doctor that for own good it would be better not
to have a cat. She loved it to the point of obsession and it was ruining her life.
Rachel Browne
If you mean whether is it possible to love a cat very much, the answer should be, yes, of course.
Another answer could be given in the form of a question: Why not?