There is a delay between the time I press the button to take the picture, and when the picture actually is snoapped. Can I make this delay a shorter time?
This is a common situation with many compact point&shoot cameras. The camera has to do a lot of work between the time you press the shutter release button and it takes the picture; set the focus, meter the light and set the exposure, switch from showing the real-time image on the LCD to capturing and storing a single image, and more. Larger, heavier, and more expensive DSLRs have additional hardware to reduce this "shutter lag" to nothing, compact cameras don't.
There is something you can do to reduce the time, however. If you know where the action is going to happen (a kid getting ready to blow out the candles on a cake, for example), press the shutter release button halfway to focus and meter. Hold the button there until the action happens, then press it the rest of the way. This lets the camera get most of the work done before taking the picture.