Anything is possible, but both Artichoke (Cynara scolymus) and Zucchini/Courggettes (Cucurbita pepo cvs.) do take up a lot of space and will need grow lights that are sized accordingly. How much space do you have to dedicate to these plants? Also, for the most part fruit or flower bud crops will require more light than leaf crops. You will need at least 5000 lumens hitting the plant, more is probably better. (10.76 lumens = 1 foot-candle).
Of course, LED technology does make indoor grow lights a more reasonable option in some circumstances. There are many brands, models, kits, methods, arrangements, etc. that one can choose from. This will take some research on your part, but there is a lot of options and information out there. A lot of it is focused on growing Marijuana (Cannabis sativa), but of course the basic processes are the same ...and the devil is in the details. Is anybody near you growing vegetables this way? Is this something that is done often in Alberta?
One piece of equipment that you will need is a good light meter, because regardless of whatever lumens and wavelengths your lamps are emitting. what will count is the amount of light is hitting the leaves.