Is it possible to restore SQL Server DB from transaction log (no MDF)?
Is it possible to restore the database to the last transaction (which should be just after the database was created) using just the transaction log, or is this something that can't be done?


No, restoring a transaction log is sequential. Transaction log relies on LSN (Log Sequence Number) 

Also, you cannot restore your database with just transaction log. It requires the main database file (MDF) and NDF (secondary datafiles if there are any).