Any idea on when ‘strict’ search options are coming?

Can you please clarify what you mean by

strict

search? Do you mean exact search, e.g. "red shoe" matching documents containing that phrase exactly?

Can typo-tolerance be turned off?

Yes set num_typos to 0

I was wondering the same, thanks!

We're hoping to ship this in the coming release. In the meantime, one thing you might find helpful is the ability to turn off typo tolerance on a per field basis: https://github.com/typesense/typesense/issues/262#issuecomment-844631342