For Verizon at least, it is an option, but stupidly it is a paid option. I had checked 2 years ago and they wanted ~$3/month for the privilege of not providing

For Verizon at least, it is an option, but stupidly it is a paid option. I had checked 2 years ago and they wanted ~$3/month for the privilege of not providing voicemail. Turns out it was easier to borrow a friend's phone and leave myself a bunch of voicemail to fill up the storage.