Do you lose as many calories walking as you do running?

This actually depends on a few factors.

Running will of course need more energy than walking. This is however TimeWise. 10 minutes of running burn more calories that 10 minutes of walking.

If one look at distance instead of time. 1 mile of running burns only marginally more calories than 1 mile of walking.

You will however build up more muscles and extend your lungcapacity more by running than with slow walking.

Regards.