Is there a way to set a text variable to pick up the last instance on a previous page?

Hi,

I have a text variable set to pick up the time in a document (which is set with a character style.) It's a sort of program schedule with multiple entries per time.

It's working out fine, however, it's pages and pages of text, some of it carrying over from the previous page. For example, one page may begin with 8:00 a.m. and the header is therefore set to 8:00 a.m., which works. But then 8:00 a.m. continues to almost the end of the next page, but 3 lines from the bottom is 9:00 a.m. In that case, I'd still like that page to say 8:00 a.m. and I'd like the next page to say 9:00 a.m. even if the first instance of the time style on that page is 10:00 a.m.

Any ideas if this is at all possible?

Thank you! Much appreciated!