Q.I planted a trumpet vine 2 years ago, watered well, did not grow.
I planted a trumpet vine two years ago. Watered it well but it did not grow. Should I buy a new one? I want to get some kind of vine on a fence in my backyard. I watered that one fine but it hardly grew. The second year I did not water it especially, is it dead? What other vine should I try? This is about 1 hour full sun, other than that it is shade.

There could be many reasons that your trumpet vine didn't survive. They are quite tolerable to the light conditions you describe.
I personally treat my new plantings with extra watering during the first 1 to 3 years of planting to help them get established.
Here is link to a great article about Trumpet Vine.
https://www.gardeningknowhow.com/ornamental/vines/trumpet-vine/growing-trumpet-vines.htm
Also another link about other planting for a fence.
https://www.gardeningknowhow.com/ornamental/vines/ovgen/growing-plant-cover-fence.htm