Blurry photos and Zoom please and ty?

I took some action photos today with my d3000 nikon.great quality but some parts of photos were still blurry like the hand and a foot here or there. I had the settings according to online resources and it worked minus a little blur.my? Is does zoom effect the blur, I think maybe I zoomed in to far and that was the cause, and can I zoom out then use gimp 2 or Photoshop to zoom in and get the pic I want or will that ruin quality, ty

It all depends on the type of blur.
When you zoom in your DOF for a particular aperture is reduced, thus objects not in the plane of focus may be blurred. If you zoom out then use software to zoom back in it is the same thing so no gain made. If on the other hand the blur is motion blur caused by motion of the subject you can help that by using a faster shutter speed. To get the best of both worlds stop the lens down a bit AND use a faster shutter speed. This will require you to use a higher ISO setting and will introduce noise. You can greatly reduce noise using readily available software.

Blur is caused by either camera or subject movement during the exposure. The remedy for that is higher shutter speeds

If you are calling out of focus images, "blurred", then you will have to either make sure that your subject is the point of focus and/or that your depth of field is deep enough to have what you want in apparent focus

Post production can't do much with blur and only a little when it comes to sharpening slightly out of focus images

You say there's a hand or foot here and there that is blurred, so here is what I feel has happened.

When you zoomed the lens, the aperture closed down, as it does with any non constant aperture zoom lens, which I'm pretty sure is what you have. A constant aperture zoom is very large, very heavy and VERY expensive, (well over $1000 per lens).

When the aperture closed down, that admits less light into the camera.

Less light means a slower shutter speed is required to obtain exposure.

Slower shutter speed, (depending on HOW slow the shutter gets), means faster moving parts of the body such as hands and feet will be blurred.

Solution is a better, constant aperture lens (2.8 aperture throughout the entire zoom range), or to use your current lens, you are going to have to ensure your shutter speed remains high enough at all times. To do this you could use Shutter Priority mode and set a speed of 1/800. If your aperture can't open enough for proper exposure, you will need to raise the ISO as required.

Software after the fact is not going to fix any kind of blur issue.