iPhone 5c unsupported upgrade possible?

is it possible to put an unsupported iOS on the iPhone 5c without a jailbreak?

and

What I want to do is put an iPhone 7/8 Plus ipsw on the 5c.

Short answer, no.

IPSW files are custom build of iOS for specific models of iOS devices. The latest version of iOS supported by iPhone 5c is iOS 10.3.3. So it's not possible to upgrade it to a later version of iOS.

Even for iOS version 10.3.3 or earlier, you should use the IPSW file build for your specific model of iOS device/iPhone.