Is it possible to have both of my apple watches connect to my individual I Phone 11 and be able to switch from one watch to the other.

Yes...according to Set up and pair your Apple Watch with iPhone:

"Pair more than one Apple Watch

You can pair another Apple Watch in the same way you paired your first one. Bring your iPhone near your Apple Watch, wait for the Apple Watch pairing screen to appear on your iPhone, then tap Pair. Or follow these steps:

1. Open the Apple Watch app on your iPhone.
2. Tap My Watch, then tap All Watches at the top of the screen.
3. Tap Add Watch, then follow the onscreen instructions.

See the Apple Support article Use more than one Apple Watch with your iPhone."