Setting timezone per database in MySQL

I wanted to know if MySQL let the admin set a timezone per database ? I have three different databases for three different customers. Each of them being in their own timezone. I would like to load the exact same event for each customer and would like it to run every day at 00:00:01 for their respective timezone. Is it possible ? I can load three different SQL script specifying in each their respective timezone, but it doesn't scale well, and it make me have three versions of almost the same file.