yes, but you may have to restore the ipod afterwards if you actually boot it with the digitizer off. this knowledge unfortunately is from personal experience by accidentally turning my ipod on while cleaning the dust from between the screen and digitizer, i had no slider on lockscreen and when i put the digitizer back on (after figuring out how to turn it back off) the screen was responsive but the ipod would take an extremely long time to do the simplest of tasks (like 20secs to unlock) i restored it and it was fine after that but was a pain in the butt for something as simple as booting it without a digitizer connected
Success! I was able to replace the battery in my pixel although it took much longer than expected. I highly recommend using a playing card (or several) to cut through the adhesive as it can fairly easily bend around the fragile components. Patience is needed as it took me nearly an hour to get the screen off, reheating, gently prying and cutting with the card. Once past the screen it was fairly straightforward despite the pre cut adhesive being too long. The adhesive comes back into play during the reassembly prep as it took at least half an hour to remove the old adhesive and prep for the new. Be aware that the foam on the mid frame is alcohol soluble and will dissolve on contact. The new adhesive for the screen took some gentle massaging to line up but ultimately went on without much fight. All back together, it works (hopefully with renewed battery life). I would say allocate at least 2 hours unless you’ve done it before.