No, it will die. You could take up the paving, or how about using artificial grass?

No, absolutely not. You will need to take up the paving and work the soil before laying turf. If your soil is poor, you will also need to add a thick layer of topsoil before laying the turf. If the garden is small, this shouldn't be too difficult a task.

I wouldn't recommend artificial grass. A neighbour has recently laid some on top of their concreted back garden, and, frankly, it looks dreadful. Use the real thing if possible - it looks good, and a garden with a soil base is far, far better for wildlife and the environment.

The pavement can be improved with container plants.
No need to mow !