Answering our older question.
No, it would not mean that.
- with == के साथ. Usage: A B ke sath hai. A is with B.
- together == साथ में. Usage: A aur B sath mein hain. A and B are together.
"Raj and Aamir do not live together." would translate as "राज और आमिर साथ में नहीं रहते हैं"