If you can get minimal depth of field (what you're referring to as 'bokeh effect'), then almost certainly the camera's AF system isn't capable of focusing fast enough on a moving player to achieve that effect while still having good focus. Many DSLRs even struggle with that.
However, its unlikely given the size of the sensor and relatively slow aperture of most (no, not all) cameras in the range of the S4700 that you'll be able to achieve sufficiently small DoF to achieve a significantly blurry background and an isolated subject. So you may be able to get some in focus pictures simply because nearly everything will be in focus. They will not likely have a blurry background however.
Also, many cameras in that range suffer from very slow shutter lag. You can compose the frame and the AF system can lock on, but by the time the shutter fires - the whole picture may be different in a fast moving situation like sports.
In addition, a camera like the Fijufilm FinePix S4700 only shoots at 1.2 frames per second. That can be the difference between getting 'the moment' and not.
Basically...no, you can't replicate a DSLR (even a relatively starter one) with most cameras like the S4700 for sports.
That's not to say you couldn't get some decent pictures with the camera in contrived situations. If you can get the players to pose or a you're willing to accept less 'action' shots, then you can certainly get acceptable photos with it.
It's also not saying that there doesn't exist a top end bridge camera with a killer AF, super fast lens, and no shutter lag - but its certainly not indicative of the group of cameras as a whole.
There's a bit of a confusion here - I wrote my response around a camera like the Fuji S4700. But its a 'superzoom' - not a 'bridge' camera really.