He said the bottling up of emotions was a factor in high suicide and alcoholism rates among Kiwi males.
Mr Cope will make his way up to Cape Reinga over the next four days, and has raised $2000 so far.
"I have four days to raise the remaining $22,000," he said.
Mr Cope began his journey in his hometown of Wellington, and has covered the West Coast of the South Island, to Bluff, and will move up to Cape Reinga before he finished in Wellington, he said.
He was looking to set up a Project WildMan group in Rotorua.
"I want to set up a WildMan group in Rotorua, I want there to be spaces for guys to talk all over New Zealand," he said.
And the fridge?
"The fridge is just a ridiculous idea, but I have found a deeper meaning. I have taken the fridge everywhere with me, and even taken him paddle boarding, but if I was to ask him about the real stuff that was going on he would be about as helpful as a normal Kiwi bloke," he said.
-Visit www.projectwildman.co.nz for more information.