I do a lot of preserving yearly (hence cannman? canning man.), and since the hop is a plant, I would say that YES you can dry can them, but you need to make sure that they are well dried before you store them into jars.
My preferred method is also the cheapest
1) Get a large brown paper bag from the grocery store.
2) Hang your hops from a long piece of stem strung through the upside down bag. Poke a few holes in the bag to allow for some airflow.
(This idea, but in the dark, like your closet)
2 alternative) If you've already harvested, you can place the cones into the paper bag directly. Don't stack them, just cover the bottom of the bag. Roll shut the mouth of the paper bag and poke holes near the top to allow for ventilation. You'll want to burp your bag and toss the hop cones around several times daily.
3) Keep in a dark very well ventilated area. Perhaps even keep a small fan running to help with the circulation.
4) You'll want to keep this up until nice and crisp. Not dry dead leaf crisp, it should still hold its shape with a little pressure and squeeze. The length of time depends on your climate and drying conditions, but I'd anticipate 2 weeks.
5) Dry can. You'll want to burp your jar daily for the first few weeks. Inspect closely for any signs of mold if you find you find sweating. Another thing to look for is if your hops seem to have rehydrated. This means the hops were not completely dry when you placed them into the jars and need more time in the bag.
I anticipate that this method will best keep the hops aroma and flavor over all other methods. Enjoy the process like you enjoy brewing. It takes time, but the reward is worth it!