Retrofit, while possible technically, is probably not a particularly good idea. You will need to allow extra width for the wider belt to run, which means that you'll need wider guards, and if the current chain runs through the swingarm as it does on some Aprilia's, you're going to need to reroute it altogether.
Now both chains and belts have advantages and disadvantages. Chains are good for high load and off road applications. The gearing can be altered very easily making them well suited to sportsbikes. They are narrow and very strong. They are also easier to repair than belts (or shafts for that matter) and can be made in a variety of colours. Belts are quieter and smoother running. They are lighter than chains and require much less frequent adjustment. However they can, and do, break if the system gets contaminated so have to be kept as clean as possible. You'll not have lube all over your back wheel if you have one fitted though.
Personally I think you'd be better off either buying a bike with belt drive already fitted or just enjoying the one you've got.
98% of the time I'm right. Why worry about the other 3%.