I have an old Nexus 6 can it receive the Nougat update over wifi if the carrier cut off the phone?

Ok long story short I am going to pay down my debt. But my phone was cut off by Verizon. If I go to a wifi hub and go online which I can do right now will I likely be able to update the Android Software version to Nougat? Using wifi the phone functions. Yes I made mistakes and intend to fix it?