I'm sure theres a Flash plugin, but that's about it - really DBPro is not designed for making web browsers, that sort of content is best handled internally and directly.
One other option is to just open up the web page and wait on that closing before returning to the DBPro code, there is an option to 'wait' when executing a file from DBPro. It might not be ideal, but maybe best to avoid dwelling on this - there are options, but they might not add up to what you need, and it might take a while to know for sure.
I would investigate the flash plugin, see if you can do anything with that. Also IanM's Matrix plugin set has all sorts of new commands, I would be very surprised if that didn't touch on web stuff. Best to be lateral, be prepared to change things if they can't work exactly how you'd like.