My husband wants to live separately, but does not want a divorce. I want it to be closed affair, but is it possible?

Yes, you can as separation for a period of time is one of the grounds for divorce, apart from adultery, desertion, and unreasonable behaviour The separation can end in either reconciliation or divorce. The conditions for divorce continue to apply. 3 years of separation is required for divorce with both parties’ consent. 4 years of separation is needed for divorce without consent. http://singaporelegaladvice.com/law-articles/separation/