Hi, Thanks for purchasing our The Events Calendar Pro.
That it is an interesting idea, but I am afraid our plugin does not have that feature built in.
I think it would be possible to filter the times and dates based on a timezone, but that coding would be up to you to do that.
We can help out if you have specific questions on a function, but again beyond that customizations are up to you.
I would start with the Themer’s Guide and getting down to the functions that show the time and start there.
https://theeventscalendar.com/support/documentation/events-calendar-themers-guide/
If you think that is something you would like as a feature I encourage you to visit our User Voice Page and either upvote an existing request or make a new request there.
http://tribe.uservoice.com/