No. The FOV crop refers to the magnification, or at least the illusion of one, achieved when you crop an image. Imagine an image that fills up your monitor. You crop the center of the image, delete everything outside of the crop, then use that crop to fill up the screen. That portion of the image is still the exact same as when it was still part of the main image, but now looks zoomed in.
To apply that analogy to a DSLR, the original image is still there, it's the image circle formed by a FF spec'd lens. The crop happens because the sensor is smaller than the image circle, by about 1.5 times in a APS-C camera, so you get a zoomed in effect. The difference between a full-frame lens and a DX/DC/whatever lens is that the DX/DC/whatever lens leaves out the outside portion of the image circle, the part that doesn't hit the sensor and doesn't affect the sensor in any way.
Because the digital crop lenses produce smaller image circles, most can't be used in full-frame or 35mm cameras without vignetting, created because the image circle isn't large enough to produce an image across the 35mm/FF frame.
depends on what you wanna achieve.. only you will know what you are going to use.. but in any case, theres a value in the viewfinder 2.8, 5.6 etc, thats your aperture value.. for most zoom lens, its a variable aperture, eg f/4-5.6, meaning the maximum aperture at the widest angle is f4 and at telephoto its f/5.6..