Does anyone know of a cheap GPS that I can purchase that you can turn on and off to save battery but it still measures distance hiked?

Answers

Roger the Mole

No, that is not technically possible. For any kind of GPS unit to measure the distance you hike it must be on the entire time you are hiking.

TexHabs

I don't know what your perception of cheap is.

MeMe MeMe tikle 🏊

how cheap is cheap bro? garmin etrex are good investments for under $100 refurb. garmin refurbs are high quality (avoid uncertified refurbs though. most of the unofficial refurbs don't even fix the problems).