DHCP Provider to Static Network - Possible?

Hi,

I'm not sure if this is a basic question but my networking knowledge is nothing but primitive.

Is it possible to set-up a network wherein the internet provider is using Dynamic/DHCP while my office network (via a router) would be set-up using Static IP?

Basically, with the following topology:

Modem (DHCP) ----LAN CABLE---> Router (Static) ---LAN CABLE--> PC (Static IP)

Unfortunately, one of the critical software we are currently using needs to be set-up with Static IP credentials. The ISP provider just confirmed that they are unable to provide a Static IP service to us even with additional cost.

Thanks!