Yes you can get your ears re-pierced. Usually the Doctor who did the surgery for the earlobe repair will offer to do this for you, and is usually included in the fee of the surgery. Typically you wait 6-8 weeks after the surgery to pierce them.
It should be no problem to have your ear lobes re pierced. In my practice, I ask my patients to “mark the spot” that they wish to have the piercing placed, preferably away from the repair scar. Best wishes.