Not that one either, however, the Elmhurst Ave station on the GVR lines (about a 10 minute walk from the 7-line Elmhurst/90th station). On Broadway there are several bakeries and I'm sure some of them have bubble tea.
You could walk to Oz Cafe at 8305 Broadway. Love their bubble tea. Head west on Roosevelt 4 blocks or so then go left on Whitney all the way down to Broadway. Left on Broadway about a block and you're there. Should take 15 mins or so.