Is their ANY possible way to pair an Apple Watch series 3 with a iPod touch 7????

Apple offers Apple Watch Family plan for dependent children.

Apple extends the Apple Watch experience to the entire family

https://www.apple.com/newsroom/2020/09/apple-extends-the-apple-watch-experience-to-the-entire-family

Set up an Apple Watch for a family member

https://support.apple.com/en-us/HT211768

The Apple Watch is an iPhone accessory. It will not pair to an other device.

If you need something different, you will have to look to some other watch manufacture. At least at this moment in time.

I've always been a bit confused by the requirements in the 'What you need' section of:

Set up an Apple Watch for a family member - Apple Support

The first item says, 'An Apple Watch Series 4 or later with cellular,* or Apple Watch SE with cellular, with watchOS 7 or later." But then the footnote says, "* A cellular plan isn't required to set up an Apple Watch for a family member, but is necessary for some features."

So, do you really need a cellular watch or don't you?

What about this;

Family Sharing.

That is not possible. Apple Watches can only be paired to iPhones.

Yes my mistake,you could always save up for a series 4 and part ex with your ipod.

luke5129 wrote:

Can you use it without any Apple device? Like can you pair it to nothing?

No, that is not possible. It needs to be paired with an iPhone.

Correct.

Suggest you return it and get your money back.

You heared wrong.