What's a 20A DP? A switch? Switches don't protect anything. In any case, no. A bare contactor is a panel component, not a complete appliance, so it doesn't have its own OCPD built in. You are expected to provide it as per the manufacturers' specs. Some ready-built contactors-in-enclosures bought off the shelf have the fuse included for your convenience.
Normal practice is to put say a T1A 5x20mm HRC cartridge in a DIN-rail mounted fuse terminal next to the contactor, fed from the contactor's main circuit. Then run a 1.0mm² control circuit L & SL to the gridswitch. Because there will then be two supplies in the gridswitch in a situation where this would not be expected, I would label this inside the grid.
Alternatively, you could fuse down a feed from the general appliance circuit, using say a 3A fuse in the grid, control it with a switch, and send SL & N to the contactor box. Make sure that the contactor would be adequately protected by such a fuse. As there would then be two supplies present in the contactor box, I would label that instead. Or, you could send an unfused feed from the control switch in suitable cable (e.g. 2.5mm² if that is adequately fault-protected by the 32A MCB) and add the fuse in the contactor box, which turns it into a fixed load that avoids having to protect the control cable run against overload.