Yes.
The Monster Beats cables are fully compatible with Apple hardware. They have a mic to support voice actions and Siri. They also have all the hardware buttons for playing music and making phone calls.
I happen to own the Beats Solo headphones. This is what the packaging says:
"Made for iPod", "Made for iPhone" and "Made for iPad" mean that an
electronic accessory has been designed to connect specifically to
iPod, iPhone or iPad, respectively, and has been certified by the
developer to meet Apple performance standards.
(also see MiF logo on Apple's website)
These minimum standards would include voice and button actions using the headset.