No. You can AOL an account even if you don't have a device. It just requires a phone call to Verizon. Getting it active is tricky, though. You'll need some cooperation from the seller, or a VZW whitelisted phone that you can have a store or authorized reseller add to the account.
You can do a lot from My Verizon online, but you need a PIN that they'll send only by text to the number in question. So if you have a friendly seller, you can assume liability, go onto
www.verizonwireless.com, and start setting up a My Verizon account, which will send a text message to the phone number. If the seller will put the SIM into a phone and tell you the PIN, you can then finish setting up your account online. You can then go to a VZW retailer and ask them to add a SIM to your account and remove the old SIM from the account.