Yes. The surgically implanted internal processor is placed underneath the skin, making it waterproof. The external processor traditionally is NOT waterproof and should be removed (similar to a hearing aid).
What to do if cochlear gets wet?
You need to take off the speech processor before you bathe, shower, or swim. You also can cover that part with a waterproof case or choose a waterproof cochlear implant processor. Rarely, the implant may stop working, and you'd need surgery to fix the problem.
What can damage a cochlear implant?
Airports, Traveling, and Metal Detectors. Air travel can expose the cochlear implant to damage from X-rays or static electricity. Do not pack the main speech processor or back-up processor in your checked luggage or your carry-on luggage, as these will be X-rayed.