Short answer: Yes
Long answer: Yes, but make sure you don't break any rulesrules.
Disclosure: I have made games and answered questionsanswered questions about them.
Basically, answering questions that other people genuinely ask about your game is great. Please go ahead and do it. Make sure you add disclosure that you're the creator of the game.
Asking questions about your game that you wrote is slightly shakier ground. As Jeff wrote in his post on MSE, it's about the community adopting your game, rather than forcing them to adopt it. It would be hard to imagine asking legitimate questions that you do not know the answer to about the game you wrote, and seeding lots of questions (self-answered or not) about a game would certainly trigger my self-promotion alarm. (Hint: the self-promotion alarm is hot-wired to the deletion button).
However it's not all bad. As a long-standing member of SE, it's likely requests for playtesting, ideas and support from people in the various SE chat rooms will be accepted. Again, as long as it's not outright promotional, you should get support and encouragement, and this may prompt people to start asking questions on this site.
With regards to directing traffic to the site, go ahead, we love traffic! However the best way to do this might be something along the lines of links with simple instructions that don't promise anything from the existing community or imply that there is any official partnership in place, e.g.
