That is a pretty one!!
If left to its' own devices, no, I don't think it would be strong enough.
But if you control its' height the first few years, letting it form a significant trunk, a support is not needed at all. There are many Wisteria trees in peoples' yards around here without any kind of support. Just keep trimming it whenever it starts to lean away, gets too tall, to remove the excess weight and force the main stems to become strong and upright. In the case of a support, leaning against it, and curling around the uprights would be fine, but I'd try to keep it from reaching the roof for the first couple years.
However, once you put a woody, perennial vine on anything, it becomes impossible to maintain (clean, paint, yada yada...) You have to be willing to donate it permanently to the vine. For that reason, I would stick to Clematis, roses, annual morning glories, something that wouldn't be devastated by being trimmed to the ground, even if that's not necessary maintenance for the plant, should the need arise to maintain the arbor. Will you need to paint it, re-seal it?
