They might have changed it on the HTC 10, but I know I couldn't remove it on an HTC One M7.
Try looking in Security > Device Administrators to see if turning off one of the options there helps.
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Verizon Wireless is here to help Nmas123. After much research, as a security feature this is not an option on the phone. However, the phone needs to be swiped upward before you put your lock patter in so this is very helpful. I personally use the swipe lock screen because you need to connect 4 dots and I find that harder to happen when in your pocket. Maybe you can give that a try?
Make sure your content is always backed up incase an accident does happen http://vz.to/1JXlXrS .
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