If, as you put it, there would be a natural synergy between the two places, then absolutely, go for it. Stack Exchange network officially declares chat as the "third place":
The third place is a term used in the concept of community
building to refer to social surroundings separate from the two usual
social environments of home and the workplace. In his influential book
The Great Good Place, Ray Oldenburg argues that third places are
important for civil society, democracy, civic engagement, and
establishing feelings of a sense of place.
Most needed are those ‘third places’ which lend a public balance to
the increased privatization of home life. Third places are nothing
more than informal public gathering places. The phrase ‘third places’
derives from considering our homes to be the ‘first’ places in our
lives, and our work places the ‘second.’
And gives a bit more guidance in Help Center > Privileges > create chat rooms:
What are chat rooms?
Each chat room defines a specific topic; the conversation in that room
is expected to loosely follow the topic. Chat typically has a few
established rooms for common topics.
When should I create a new chat room?
When you find yourself wanting to have an extended conversation about
a topic that is not covered by one of the existing chat rooms, you
should create a new room for it.
How do I create a new chat room?
There is a link to chat in the footer of every page. The link also
appears in the Stack Exchange site switcher on the upper left corner
of every page. Click one of those links, and then click the "create a
new room" button at the bottom of the Rooms page.
...
There is nothing in your proposed use of a new chat room that goes against these guidelines, and as there's active participants of both the Space Exploration Stack Exchange community as well as of your Moonwards project, I entirely endorse your request. Mind, this is an opinion and not in official capacity, but for the better of me, I don't see why not and as someone that has been actively working on community building, it is the type of activity I would like to see here more often.
