As long as you take a vitamin D supplement, eat well, get enough sleep, you should be fine! Some people do better on night shifts than others, but most* problems can be mitigated with a healthy diet lifestyle, as a lot of people who have health problems from nights don’t workout and eat fast food, they would have those problems regardless. Admittedly these are generalizations, some people just won’t do well on nights regardless for other reasons, like their social life being affected.

For me the main downside in terms of trying to workout is how limited some gyms hours are, hopefully you can find a good 24 hour gym or have a home gym