Not with OEM FW. I presume a reboot constitutes a full disconnect and reconnect with the ISP. Usually an ISP will allocate an IP address for the WAN side for a period of time and even though a router will reboot and disconnect and reconnect, if the reboot happens with in this time frame, the IP address on the WAN side should not change depending upon ISP policy. You might check there policy to see if there is a least time frame they use or if not, maybe the change IP address upon any reboot.