I would not try it. It would be better to have composted manuar. If you try it you may end up with a mold problem.

A neighbor grows squash on composted manure, and I've had them sprout and thrive from a compost heap that contained largely manure. Rabbit manure is supposed to be especially mild, so you might get good results whether it's composted or not. Here's a variation on this.

Rabbit and sheep manure are pretty much usable... straight from the animal. I prefer to compost. But it works as is. I make manure piles, several months before planting in them. Most of the time the sheep, goats and horses let the squash alone. But last year, in a severe drought, they demolished all but one such planting on our place.

George
Tablequah, OK

Followup post. I mixed one part fresh rabbit manure with two parts clay soil and used this mixture in my planting holes for my Costata Romanesque Zucchini and Kabocha squash. All plants are doing wonderfully and are really big and healthy looking, and the Zucchini already has blossoms on it and I see some squash forming. I made it even richer by sprinkling some mealworm castings on the planting holes and then covered the ground with bark to keep any fruit that form from touching the manure.
I also planted some more squash using fresh horse manure instead of rabbit manure and mixed it with clay and those plants are doing fine too. So much for the claim that fresh manure will burn the roots. Maybe because I diluted the manure with clay soil, but my plants are all growing vigorously and look extremely healthy.