Am i getting my point across correctly?

Question

 'Can we be of a certain community? Yes. Does that mean we should not be a part of other communities? No. We can be part of a community but we can also be part of multiple communities. It's possible to be part of more than one group.'

When I wrote,'Does that mean we should not be a part of other communities? No.', I meant no, as in 'no, we should be part of other communities.' NOT no as in, no you can't be of other communities.

So was what I wrote correct in terms of expressing my viewpoint?

Update:

was the way I used the word 'no' correct?

Answer 1

You wrote it correctly.  You ask the question, then answer it definitively:  No.  That works.

Answer 2

I think it is quite correct to say No there, because the question is "Does that mean?"  and it does not mean that.

Answer 3

Is this is an academic paper? You usually can't use this kind of rhetorical question in a student essay, or the one word answer. If you must do it this way, write "No, we can be part...." 

Answer 4

Yes, that is logical.