Yes, if the device allows the wake word to be changed, and apparently the Tap doesn't, you can set each device independently. Unfortunately, none of the wake words are very good if the device is near a TV or radio. Alexa and Amazon seem to be the worst as far as accidental awakenings, mostly due to all the commercials by Amazon, but Echo and Computer are not far behind. Echo ends in a prominent "O" sound, and every time my devices here an "O" sound they wake up if the wake word is set to Echo. Computer is a bit better, but there are still a lot of sounds that cause an awakening. Also I've noticed that many loud noises wherein no words were even uttered will awaken the devices. Amazon really needs to fix this, but alas Bezo's Bozos team of developers will likely not figure it out in my lifetime!