I'm assuming you would be sowing seed when things warm up in the spring. I'm zone 7 so don't know about what would make it, but sounds like a good experiment. I would think the onions, kale and spinach would be the most likely candidates for producing something edible since you can eat them at almost any stage and they can grow well in cool weather. Be careful not to sow them too deeply. Tomatoes and pepper would probably need to be started indoors and transplanted. You will never know if you don't try it.
I did take a moment to look at the weather for June and July in Edmonton. The temperatures are great for the onions, kale and spinach but look quite cool for tomatoes and pepper. Do folks in your area grow good crops of tomatoes and peppers without greenhouses?