How can I fix a hole in chrome tap - model is Frankie?

I've accidently punctured the spout on the kitchen tap and when I turn the tap on, water squirts out. It's a dual spout with hot and cold water runing through it. I can't tell if I can remove the spout and taps from the sink, but I'm guessing I can.

Is there a cheap way to repair the hole so you can't tell there was a hole there? Can I use something that will look like chrome and fill the hole and be watertight? Or do I have to buy new taps and spout? I'm based in the UK.

Any help greatly appreciated.