No, there are no buses from the Boardwalk or the Beach Club to the TTC. The buses go directly to the MK, instead. You could take the ferry or the monorail from the MK if your destination really is the TTC, though. Buses start at about an hour before the MK opens and run about an hour after the MK closes.
Not sure why you want to get to the TTC. If it is to transfer to another WDW resort's bus, you can do that by using DD/PI as your hub. There are buses to DI/PI from the BW and BC. Believe they start running about 1/2 hour to an hour before DD opens and continue until about 2 AM (when PI closes).
If you need specific options, post again.