Evidence of things unseen? What do you mean by "things unseen"? If you mean "things that cannot be observed, measured, or otherwise quantified", then no. Since Science is a process/methodology that increases and organizes knowledge in the form of testable explanations and predictions about the world, it by definition has nothing to do with "things unseen".
Science, itself, has no requirement of faith or trust. Its practitioners, being human, regularly do imbue it with such qualities.
"I wish I had documented more…" said nobody on their death bed, ever.