Can i restore mysql database to point of time when it was just installed/factory default?
For PIT recovery, see if log_bin was turned on.

DROP table/database/etc promptly and irrevocably removes the data and schema.  DROP cannot be in a transaction (until Version 8.0).

If you are hoping for a "recycle bin", be aware that COMMITting a transaction effectively flushes what you might think of as a recycle bin.