Technically, yes, but it's more involved than electrical. Plumbing requires running water supply and drain lines from your house to the building, which means trenching and connecting to your existing system. In Michigan, you'll need permits, and the work needs to be done by a licensed plumber.
For a full bathroom or kitchenette, the cost adds up: plumbing, permit fees, possibly a separate septic connection depending on your setup. For most shed and cabin uses, people get by without plumbing. But if you're building out a guest suite, a pool house, or any space where water is essential, it's absolutely doable.
