Can I turn off a device using the 5V and analog pins?
You would use a transistor. Something like this would work. 

In this case the Arduino controls a transistor to drive a brushless motor.

Source: Arduino Cookbook: (https://www.inkling.com/read/arduino-cookbook-michael-margolis-2nd/chapter-8/figure-8-9)

Update:
For the sake of clarity I should point out that the TIP102 is the device to use for the 1A required (not the 2N2222). And as pointed out by others the 5V supply of most Arduino boards would not be sufficient to supply 1A, so an external supply would be advised.