Yes, you can.
But you should not take a bath the first day after you just insert a NeuEve suppository. You need to allow at least 1 day for the the suppository to be melt and dissolved so that it can have an effect.
Ideally, you should wait for the entire duration of the suppository (4-7 days).
Bath water can dilute and or wash out the suppository ingredients. But water alone may not complete wash out NeuEve as NeuEve is oil based. However, if you use soap or shampoo to wash, you may completely clean up NeuEve. The product may be wasted.
This does not mean you should not take a bath or use soap.
You can have a bath and apply soap on the last day the suppository, before you insert a new suppository.
Say you are using NeuEve Silk suppository once every 4 days. The 4th day after you insert a suppository is the last day. If you count the first day when you insert a suppository as day 1, the 4th day after that is day 5.
After taking a bath, you can insert a new suppository. Nothing is wasted.
However, what if you cannot wait for that long before taking a bath?
You can take a shower instead. Between shower and bath, shower is better and safer.