Ralph, It would be called an A.C. amp meter and is perfectly possible, however I don't know of an off the shelf unit that will do what you want let alone one that is blind accessible. There are things called "clamp amps" that have a fitting that goes around a single wire from an A.C. cord, this will plug into most DMM's like the talking DMM talked about on this list.
This means it is not actually electrically connected to the A.C. lines and so safer. the talking meter measures A.C. current but not to the number of amps you need for something like an appliance. I don't know why somebody doesn't make such a device, maybe they do and I just havn't seen it yet. You'd think it would be a big seller. Tom