The correct answer, no. Logically and intellectually it is possible, professionally it is possible, and circumstantially it is possible. Actually and intimately it is impossible.
Many men are insensitive and desire-addicted and many women are dependent and attention-addicted; so they cannot feel the very subtle but very real feeling of wrongness, compromise and mucking-each-other-aboutness of just good friendship; especially of the ex-partner / ****buddy variety.
It's hard, but, unless circumstance (family) or work bring you together, strings must be cut, or pain will result. Before you react to this, check why you're really staying with your just good friend and not a) throwing all your chips in with him/her or b) cutting loose and letting new love come.