In one test I read- a system this small can sound///

Actually, the question is, is it possible to say – sth + this/that + adj???
For example, I that nice can date him easily?
Your sample sentence is no good-- I don't even know what you are trying to say with it-- but the original (– sth + this/that + adj) is a common structure:

I could date a girl that nice quite easily.
I didn't know that a car this fast could be built.

No. But you could say, "A man this rich can contribute..."
Students: We have free audio pronunciation exercises.
He this rich can contribute to any public sector.
Can I say that?
 khoff's reply was promoted to an answer.
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