It's possible; however, it might not be necessary. In the end, it is important to have a well-supported mattress. Slats are another option for accomplishing this goal instead of using your existing box spring. Make sure slats are spaced adequately if you plan to use them. A memory foam mattress should not have a gap greater than 3 to 4 inches between its slats. Wider spacing may be possible with hybrid mattresses.