Not that you couldn't do it, but I think it might be a counterintuitive pairing depending on the type of plant and garden setup/layout you have. Since they're both sprawling in how they grow, I would guess that the cucumbers would choke out the strawberries in a longer term. Since they grow large leaves, they could take away the strawberry's sun exposure. Now you could grow both in similar overhanging styles, so they may do well in similar conditions, but they won't be of any insecticidal assistance to each other.
Not that you couldn't do it, but I think it might be a counterintuitive pairing depending on the type of plant and garden setup/layout you have. Since they're both sprawling in how they grow, I would guess that the cucumbers would choke out the strawberries in a longer term. Since they grow large leaves, they could take away the strawberry's sun exposure. Now you could grow both in similar overhanging styles, so they may do well in similar conditions, but they won't be of any insecticidal assistance to each other.