You don't need a C wire for the Nest, although if you have one it's recommended to use it. The Nest has a small internal battery and can trickle-charge from the R and W wires.
Just because you CAN do something doesn't mean you SHOULD. This is definitely one of those cases. If you want your Nest to be running problem free on most systems (or any other smart thermostat for that matter), just assume you need the C.
[0] https://nest.com/support/article/When-Nest-needs-a-common-C-...