No, but it need not be that thick anyway.
You don't NEED a piece of plywood, but that's how I mount mine.
Here is how I do it.
I mount the pump to the plywood with a rubber washer between the pump and the plywood, and another between the pump and the screw head.
Then I use either adhesive or screw on rubber feet on the bottom of the plywood.
Rubber washers are cheap, you can get a pack of assorted sizes at Lowes for about $5.
I advise you use stainless steel screws. Those are best bought at Home Depot, as they sell 100 packs. Lowes you have to buy them in the little bags of 2 to 5, making them hideously expensive (unless you only NEED 2-5).
The plywood is also best painted to resist rot.
Of course you could use regular steel screws and skip the painting, it just doesn't look as pretty after a while.