Yes, you can.
I would suggest that you test it beforehand though. Obtain their login and password and ensure you get the QR code. But, then, when you're out, you will need to log into all three accounts.
I suspect they thought that most people would just take their e-vaxx card and ignore the printed one. But, they forgot this is Manitoba, so getting a free card in the mail is a great deal and many were ordered.
I almost ordered one, then gave my head a shake.
The thing about the Manitoba vaxx card is that it's so simple. It's not trying to do a million things. Just name and confirmation. It should be the model for all other provinces.
Yes, it needs a bit of work but they're fixing it.