Not all running is created equal. If you have access to a track try sprinting shorter distances (100 meters or so) and limiting your rest between intervals.
If you don't have access to a track and have some hills nearby (grass or street), run up the hill many times. Again, limiting rest. If it is a grass hill some cross country spikes or cleats might help.l
Many of us are taught how to sprint and run properly through high school athletics. There is technique, just like punching and kicking. Pretty basic though, just try and research a little. And warm up/stretch.
Is it the same as fighting, no. Will it help you build endurance and explosion, very much so.
Of course, this should supplement your normal training. Running sprints and hills won't help your technique, just your gas tank.
Jogging a mile prolly won't do much for you.