Nah - it would be hard to do real damage.
An EMP pulse will shutdown electronics with no problem - it is a basic phenomena called 'latch-up' that is the main problem.
It is simple to correct for almost all devices, however - simply power cycle the affected device. It is hugely significant in warfare, however, because rebooting your flight computer may not be a good idea when you are flying along at Mach 2!
You can easily get a normal device (say your watch) to 'latch-up' - just kludge a piezoelectric 'gas lighter' to generate a spark (without gas) and zap the thing you want to test. Causing latch-up of a security system is a handy way to get them to fail.
I know it isn't IDENTICAL to a real EMP pulse, or even particular similar .. but it is close enough for the sake of imagination. (EMP will have a much bigger high frequency component, due to sharper transients)
A cheaply designed device could damage itself when it latches up, but most modern devices would be fine.
There is another affect which will induces currents into loops of wire - this is also a problem. However, if it is generating enough current to burn out an electric motor, then you've probably got bigger problems that that .. I've microwaved an electric motor for about 8 seconds successfully, just to prove it. (Lots of pretty sparks, but it survived! My microwave is still good as well. I was too much of a coward, however - I was aiming for 10 seconds but chickened out.)
The main power would probably cut off, simply because the electricity grid is a classic case of a 'loop of wire', and safety switches are designed to trip if current flows in the wrong way.
There would be infrastructure damage with a handful of transformers that will get themselves killed, but it would be a surprise to see any widespread lasting harm, however.
Mac
(PS: For the sake of fiction, however, a 10 kiloton bomb would do nicely. It's fiction, after all.
In reality, a 1.4 MEGATON bomb (Starfish Prime) caused damage to a handful of streetlights and an outage of telephones for about half an hour for an Hawaiian Island about 800 miles away)