Seting timezone per database in MySQL

Question

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 everyday 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 version of almost the same file.