By all means it is possible.
That being said, it will not be easy, (nothing worthwhile ever is). You will need 3 things in equal proportion. It cannot be done without all 3.
1) Time. It is a time consuming endeavor. And you must put in the effort.
2) Money. No bucks, no Buck Rogers. It will cost you some coin to pay for the plane, instructor, and the requisite items (books, flight planners and such)
3) Dedication. Elbow grease.
Take an introductory lesson or two to see if you like it, and feel that this is something that you want to do.
it is an amazing career, that is unique, and enjoyable.
Give it a shot.