Site-to-site VPN static to dynamic IP

I have a Checkpoint NGX at our central site in London and a Cisco 877 router/dsl/firewall appliance at our satellite site in Dubai. Trying to setup a site-to-site VPN with static IP here in London and dynamic IP in Dubai. Is this at all possible?

If this is not possible, would it be possible to establish this static-to-dynamic IP VPN tunnel if we were to use Cisco 877 at both ends?