If you login to verizonwireless.com with your account, you should be able to see all upgrades available and transfer the upgrade from his account to your account. This would greatly lessen the hassle of getting it on his line and then switching it to yours when you can do everything online now.
If you have issues with that, though, yes, you can. I did that with my wifes phone.
Simply order it on his line. When it comes you'll have to activate it real fast on his line per their upgrade policy. Then just change the MEID back online or just call up CS and tell them and they'll switch the MEID's so the lines are right and you're set to go.