No, micropore tape is not waterproof.
It is a surgical tape designed to secure dressings to skin.
It therefore needs to be breathable, this means that it will let water through. While it can handle a small amount of damp without failing, it is not designed to deal with a complete soaking.
Micropore is made from a woven non-elasticated viscose fabric which is coated with acrylic adhesive, this type of tape will absorb water which will eventually cause the adhesive to fail.
It can handle sweat up to a point, if you are exercising intensely and are sweating profusely then micropore tape may struggle to stay attached.
This means you shouldn’t go swimming or take a shower with it on as it will fall off, instead remove the dressing prior to your shower and then reapply a fresh dressing afterward.
You can read more about waterproof tapes that you can use on skin here. Alternatively, you could use an actual waterproof tape such as Gorilla tape or flex tape to tape a plastic bag or similar over the wound to keep it dry while you wash
Interested to find out how other types of tape fare against water?