There is no reason you can’t wax during pregnancy.However…….

your skin is likely to be more sensitive and itchy, because of all the hormonal changes in your body. You also have extra blood flowing to your skin, especially in your pubic area.
This may mean your bikini and Brazilian wax as well as the regrowth of hair, is more painful than usual.  Always let your therapist know if you are pregnant, as more steps can be made to make sure you are comfortable, e.g. the use of numbing creams, sprays and cold compresses.  Using waxes containing titanium dioxide can help reduce the discomfort during treatment.

Meticulous salon hygiene is an imperative part of the process.

If in doubt, ask your doctor for an opinion, particularly if there are other health issues.