YES YOU CAN, cause I just did.
Ordered the cord from Amazon $18 or so.
remove the dirt canister and vacuum head. remove all the screws from the bottom of the canister and pull the cover off. inside you will see a plate with 4 screws, remove this. Now you will see the crimp on wire nuts, I didn't have these so I just simply used twist on wire nuts and tape.
Reassemble and vacuum away. Easiest repair I've had to make on a household appliance.
Hope this helps.