Yeah that's bullshit. I live in a very very Amish area and I'm one of the minority who aren't Amish. Most of what people think about them is bullshit. So to hammer a few rumors out:
Electricity is a tool, and you're allowed to have tools in the barn, but not in the house.
A home phone/cell phone is a tool, it can be in the barn but not the house.
A car is a tool, but a photograph is vain. You can own a car but someone who isn't Amish has to drive it.

They all have cell phones, debit cards, vans, refrigerators, etc. They're just super picky about what gets to come inside the house