We can modify a singular countable noun in very many ways. For example, we can use the expression quite a/an or rather a/an before a singular countable noun.
She’s quite a nuisance. OR She is rather a nuisance.
The party was quite a success. OR The party was rather a success.
He is quite a fool. OR He is rather a fool.
He is quite a genius. OR He is rather a genius.
It was quite an experience. OR It was rather an experience.
Note that this structure is not possible with uncountable or plural nouns.
Another way of modifying a singular countable noun is to use a quantifier with of.
Let us see how much of a singer you are.
He is very much of a family man.
I think she is a bit of a fool.
It was more of a party than a conference.
She is less of a singer than a poet.
A lot is not used in this structure. Instead, we use expressions with similar meaning.
She is very much of a professional. (NOT She is a lot of a professional.)
This structure, too, is only used with singular countable nouns.
We can’t, for example, say I think they are a bit of fools.