If you mean the current one we got during the Anniversary, not a chance, it won't update the list with newer servants, and was already missing several SSRs going back a year or so.

If there was a new ticket, maybe? Depends on the restrictions on that ticket though.

^

Hope we won't have to wait for FGO's 10th anniversary for a limited SSR ticket.

I'm guessing the next SSR ticket will be for the 30M download campaign, because nasu said that he wanted it to be bigger than the 20M one, and that's when we got our 1st SSR ticket.