Translation:Rain and storm cannot stop me.
"Neither rain nor storm shall hinder us!!" ( /Me thinks this sentence needs more dramatized spiff to it! In that case you'd stick with the singular for both rain and storm. And for some reason I want to put it into plural 'us' instead of 'me'. It feels like I've seen or heard that sentence somewhere exactly like that...?)
Courtesy of Wikipedia article on US Postal Service creed, from a description by Herodotus of the ancient Persian courier service:
*It is said that as many days as there are in the whole journey, so many are the men and horses that stand along the road, each horse and man at the interval of a day’s journey; and these are stayed neither by snow nor rain nor heat nor darkness from accomplishing their appointed course with all speed.
— Herodotus, Histories (8.98) (trans. A. D. Godley, 1924)*
I'm not bothered by the lack of article in front of the word "storm." It sounds poetic to me.
It's not just one particular storm nor an identifiable storm. It's more all-encompassing: any storm, the concept/essence of storm.
I understand why some people want an article there, but the intended meaning could be more profound than what would be indicated by the presence of an article.