Re: Lewis Carroll would like a word...
I suspect not. I believe it comes from a shortening of the word refrigerator (note the lack of a 'd') which has a Latin root in the word frigus, meaning chill,coldness. Ecclesiastical Latin pronunciation gives the 'g' a 'dj' sound, which leads to it being spelled in English with a 'd' to distinguish it from words with a hard 'g' in the middle, like magnet, regulate, cigar, bogie, sugar.
Classical Latin pronunciation would be frig, to rhyme with brig.