Recover data from accidental update
If you did not take a log backup between the full yesterday and your restore today, then no, everything changed since yesterday is gone. 

In a best case "accidently deleted data" scenario, the process is to take a log backup to capture the "tail"of the log, restore a full backup of the DB to an alternate location, restore log backups using STOPAT to get to the point right before the accidental delete and copy the data.  

If you don't have the room to restore an extra copy, or the accidental deletion is severe enough that you must restore over the existing database, then it is twice as important to backup up the tail of the log.