How to restore a site from a backup done with Backup and Migrate module using Drush
Yes, you can restore your backup with Drush.

Here are Backup and Migrate commands for Drush explained: http://www.only10types.com/2011/03/drush-backup-and-migrate-command.html

I think drush bam-restore command is what you are looking for.


  bam-restore Restore the site's database with Backup and Migrate.
  
  Examples: drush bam-restore db manual
  "LCC-31.03.2011-14.01.59.mysql.gz" - restore the default database
  using the given dump file, which can be found in the destination
  called "manual"
  
  Arguments: source - Required. The id of the source (usually a
  database) to restore the backup to. Use 'drush bam-sources' to get a
  list of sources. Defaults to 'db' destination - Required. The id of
  destination to send the backup file to. Use 'drush bam-destinations'
  to get a list of destinations. Defaults to 'manual' backup id -
  Required. The id of a backup file restore. Use 'drush bam-backups' to
  get a list of available backup files.