Yes you CAN grow walnuts in Alberta!  These are slightly smaller nuts than what we are accustomed to but delicious and very nutritious!
Be prepared to wait a while for your snack though!   These are young trees and though fast-growing (2-3 ft/year), it likely won't start producing nuts until your toddler is celebrating her 10th birthday!   Some years down the road, when your grandkids  come to visit, they will be staring up at a 100' tree and clambering around in branches that span 20' on either side of the trunk.  Safety ropes will be required:)   At that point, you can expect to enjoy your walnut tree for another 175 years!!
In the meantime, they are a beautiful, unique tree with distinct compound leaves and, as mentioned above, a lovely wide canopy.
You will want lots of space for this to grow so best suited to acreage owners.   
For better images of this stellar tree, please refer to your favorite internet search engine.
We will contact you in the spring when your young tree arrives from Manitoba.