Generally yes - I’ve just had an eye lash lift and tint, for example, and booked a spray tan for pre holiday. Can’t have some facials, or use certain oils in massage, but your therapist should know what (and if in doubt, don’t!). When you get into the 2nd trimester best not to lie flat on your back, so have facials etc slightly sitting. And your skin can be more sensitive, so patch test everything, even treatments you’ve been fine with in the past.
Do not use upper lip hair removal creams! your hormones can make facial pigmentation worse and hair removal cream can have disastrous effects (think brown skin mustache left over after you take the cream off).
To be honest I'd ditch the hair removal cream for your face for good as the chemicals can cause pigmentation and burns anyway. Get the area threaded while your pregnant, it last just as long.
You can continue to thread post birth or do laser instead, but those creams are so bad.
Although there’s no risk to baby you might be more likely to react to certain ingredients in pregnancy, so do a patch test even if you’ve used a product many times before. Your therapist probably isn’t insured to treat pregnant women.
Thanks for the top about upper lip! Better do threading from now on! She just said she wouldn't touch me while I was pregnant! Might see if I can find someone insured then. What about tanning moisturiser, like Dove?