Yes it is doable. You have to start out slow though, running can be very injury prone though, as you become adult and your body isn't use to it, if you really want to do it you have to start out slow.
Start out by walking 10mins 3 times a week
2-3 weeks later: walk/running 10mins 3 times a week
2-3 weeks later: walk/running for 15mins 3 times a week
2-3 weeks later: walk/running for 20mins 3 times a week
2-3 weeks later: running for 15mins 3 times a week
2-3 weeks later: running for 20mins 3 times a week
After each walk/run you should do some strecthing excersises aswell. You can do a full leg streching routine in about 5mins after each session.