Yes. The "split coil" pickup (actually two separate pickups placed close together under the strings) is a humbucking, noise-cancelling design. These have been standard on the Fender Precision Bass since the early 1960s.
Split-coil noise-canceling design
However, the original "vintage" Fender Precision Bass pickup is a single pickup with a single coil, and it is not noise-cancelling -- it is subject to 60-cycle hum electrical interference.
Original 1950s P-Bass single-coil pickup (not noise-cancelling)
The original single-coil design is less popular, but it is favored by some traditionalists, notably Sting. Occasionally Fender will re-issue basses with this "vintage"-design pickup.