Steve Wampler took off for the week-long trip on Sunday and has since covered about 750 feet.
The 42-year-old is making the trek along with a group of other climbers ... who are helping guide him using a system of ropes to haul himself up.
Wampler, who has spent most of his life in a wheelchair, trained for the hike for more than a year, using weights and practicing in his harness.
He estimates it will take about 20-thousand pulls to reach the top, and expects to be at the top by Friday.