Upper and lower midline misalignment. Is it possible to shift both upper and lower teeth to the same side?

Hello all, I had my braces back in 2015 for about a year and 9 months - until late 2016 . My orthodontist did a really great job; my teeth are perfectly aligned and I don't have an overbite and everything looks good BUT - both upper and lower teeth are all aligned to the left 1- 1.5mm (basically Tom Cruise on both upper and lower teeth). In other words, there is a need to shift all upper and lower teeth to the right. Is it possible to shift both upper and lower teeth to the same side?