Try growing them [cucumbers] under insect netting if you are able.
No, I think it was rabbits that ate my tender young cucumber vines. They never grew enough to bear fruit. Next year I think I will plant the cucumbers in raised beds with a pallet wood trellis to grow up on.

The rabbits don't seem to bother my plants in the 16-inch-high raised beds. I have never needed any insect netting for my plants, where I live. But I have made a number of chicken wire cages to keep squirrels out of the gardens (they love young eggplant).