No, as it will kill the grass and cause drainage issues. Why do you want to try that - too many weeds?

What you could do is cut down using the lowest setting of your mower the area where the lawn is, then cover that with sand and then a little soil. Flatten and lay turf - it will look good. Turf is difficult for a lot of weeds to grow through and by having to go through sand and soil will be weak and easy to pull.