Hosts pay for IPs, which are usually assigned by the hosting script (eg, cPanel, WebHostManager, etc). If you bought a bunch of IPs from your host and had root ssh access, it would probably be possible. However, on a shared hosting plan, you can forget about it.
If you really need to do this, talk to your host about options. However, unless you want to put about 20x into your monthly budget, I don't think it's going to happen.
Bruce