To answer your question, no problem.
The key will be consistency and avoiding injuries. After fighting calf, knee and ankle problems for years I finally got it right by starting slowly this year. How slow, I walked three miles on a treadmill three times a week for a month, then spent the next month walking half and jogging very slowly half the time, then the next month jogging very slowly the entire time, then the next month a little faster. After four months I substuted one of the runs for my longer slow run, starting with 4 miles and increasing a half mile a week until I got to six. I gave myself five months to ramp up and now can run 6 miles at 9-9:30 pace and feel fine the next day.
The toughest part is the first three months you know you can go faster but you have to discipline yourself to just take it easy.
Go slow, consistency will be the key.