If you are talking about your public IP address (Your address on the internet, and not the address on your house's internal LAN), your Internet Service Provider (ISP) determines if you have a static or dynamic IP address. Most residential public IP addresses are dynamic, unless the customer pay extra for a static address.
If you are talking about the private IP address on your house's LAN, you would need to know the LAN settings of your router in order to determine if you can set your computer to a valid static address that will work without interfering with other devices connected on the LAN.
If you are talking about the private IP address on your house's LAN, you would need to know the LAN settings of your router in order to determine if you can set your computer to a valid static address that will work without interfering with other devices connected on the LAN.