I wouldn't recommend it - Jasmine officinale gets 35 feet by about 20 feet. Honeysuckle, depends on the variety, but most will be smaller than that, and will be lost and choked in the Jasmine, plus some honeysuckles are quite prone to mildew, and the risk of that is increased with little air flow.

I have an evergreen honeysuckle and a common jasmine and they are perfectly OK together if anything the honeysuckle is outgrowing the jasmine but it can be controlled, so no problem Roy.

I should have started my answer by saying yes, if you want to, BUT I wouldn't recommend....