No, the reason you are getting that address deals with the ISPs DHCP server. it records your MAC address, and attempts to always provide you the same IP if it can. since its their server doing it (and you cannot change your MAC or they will not provide service to your modem), there is nothing you can do on the client end. Sorry.
edit: BTW, the reason they suggested 24 hours, is that is likely the lease time of your DHCP address. one of the items required to get it to consider giving you a differant address is the expiry of your existing one, but it is likely that the server will give you the same one over and over again, even with an expired lease, unless the assignment pool for your segment is largely in use.