Yes, these days it is possible to correct this without orthognathic surgery. However, the discrepancy should be within a certain limit. The best approach would be to consult an orthodontist with a complete set of dental records like OPG, Lateral Cephalogram and intra oral scan.
Next Steps
Consult with your orthodontist.
Health Tips
Do have a second or third opinion with other doctors as well if the treatment plan appears too adventurous or unreal.