Kevin,
No.
Let me explain a thing or 2 about IP addresses and networking.
Your ROUTER (Airport) pulls an Ip from your ISP. Then it creates an insulated network - once removed - for ONLY your machines. Typically the IP addresses on your internal network (your LAN) will be in the 192.168.x.x range. For example, your router may be at 192.168.1.1. Your wifi devices may be .100-.120 -- but there is no reason you can't declare your wired machines to be 192.168.1.20; 192.168.1.21, etc --
If you ever change routers, your static IP addresses will always be there same.
Read up on routers.
That's what this thread is about.
Hope this helps.
J