No, English 'fiddle' isn't derived from Gaelic, though both languages (and most other European languages, come to that) have similar words meaning much the same thing. 'Violin' (a late coinage) is one of them.

I'm doing the decent thing here. As my informants tell me that WAV put away four bottles of Mead last night and effectively OD'd on stottie, chips and tomato sauce (not a pretty sight as you might imagine, he just can't hold it the way he used to*) I'm going to save him the bother.

PLAYING THE FIDDLE?
There are many different fiddles from many different lands – for example, the Chinese erhu fiddle, the Norwegian hardanger fiddle and, the one most in the West now play, the Italian fiddle/violin. (from Here)

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* Mead is one of the causes of WAV's downfall. All great men have a weakness. Viewers of the celebrated Scottish sit-com Still Game will be familiar with Big Innes and his fondness for Midori**, so it is with WAV and Lindisfarne Mead. It is because of the mead he got into folk in the first place, and it was all downhill from there.

** The entire episode can be seen in three parts Here.