if you walk on a plane while is moving as fast as speed of light than the time on a plane is slower than the time on earth.and even you walk inside of plan while it's in speed of light your speed will remain same as the plain b cuz of gravitational force it create inside of the plane wont allow you to walk or run more than the plan speed.even in that speed your clock will start to work slow than the earth time.so technically
you are traveling to the future faster with the help of speed.