The possibility of taking a sharp picture is directly dependant on the available light. If the light is low, your camera would choose a slower shutter speed and a larger aperture, as long as the shutter speed is fast enough it would take a good picture in available light. The camera I believe would have a slow shutter speed warning.
As a rule of thumb the slowest shutter speed one can use for a given focal lenth of the lens is calculated as follows:
Focal Length Shutter Speed
50 mm 1/60
100mm 1/125
250mm 1/250
This is just a guide and helpful when using such focal lenght lenses. Your shutter speed should be equal to or greater than the focal length of the lens in use.
There are many other factors that come into play, some camera's come with a built in vibration reduction which helps in taking pictures at almost 2-3 stops slower which should not be taken into consideration when the above rule of thumb is applied.
Some people are able to hold the camera more steadily and some cannot so you need to find out for yourself how you do in that aspect of photography.
Get the camera and start using it, you will find out in the process what really works for you and what are the limitations of the equipment, you just have to work around it to achieve the final results.
I am around if you have more to ask.