Where can I publish?

Hello. Your plugin clearly gives me the option to publish a WordPress post to my own Facebook page. But does your plugin give me an option to publish the same post to other Facebook groups—groups of which I am a member? For example, my company is a real estate site—we sell homes. We have our own Facebook account, and under that account we are also a member of several Facebook real estate groups. If I create a new post on our WordPress site, I would like to publish it to our Facebook page, as well as these groups. Would that be possible?

Thanks.