Answer: In theory, it's a great idea. However, vines tend to be large plants, requiring lots of soil for their equally large root systems. Also, container-grown plants need copious amounts of water because their roots can't go searching for more moisture when they need it. In other words, if the roots are cramped then the vine will stay small, and the weight of a container with adequate soil/root space would make it difficult to keep on the fence.
Fortunately, many perennial vines as well as annuals are easily able to grow past six feet, so you can plant them right in the ground and still cover the extension you add to the fence. Rather than netting, I suggest you use a metal mesh, and tack it securely to the stockade fence. It'll be sturdier in the wind. Enjoy!
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