Hey Cheryl,
You can remove the Wi-Fi board, but taking apart the iPod touch is not very much fun! It requires a lot of heat-gunning and small part prying.
Luckily, there is a really easy fix! A quick Google search told me that you can pretty easily block everything that uses Wi-Fi and require a password to access it.
Go to Settings>General>Restrictions>Enable Restrictions and it will ask for a 4 digit password. Then turn everything on.
This way, you can go back in and turn it off at a later time if you want to, and you don't have to worry about taking the device apart!
Hope this helps! Happy fixing!
What generation iPod do you have?
by oldturkey03
It is the latest ipod touch. 4th generation?
by Cheryl
If I turn of my I pod touch 6 g wil it delete my Wi-Fi password can please know a soon positive thank you
by Diego Quintanilla