Hi rm89,
Yes you can! There are several options for this:
1. Get your Dad to call Skywards with your booking reference details & ask them to upgrade you.
2. Get your Dad to go online & use the new online upgrade request facility for your booking.
3. Get your Dad to list you in his account as his "Travel Co-ordinator" & then you can call Skywards & upgrade your flights yourself. (Or if you have access to his Skywards number/password you can do it online yourself).
Cheers