Yes, there is. The inclusion of the hyphen brings about a change in the meaning of the word. The word `re-count’ means `to count again’ or `a further count’.
Example: Both candidates demanded a re-count.
It must be mentioned here that not everyone uses the hyphen nowadays. The `e’ in the first syllable is pronounced like the `ee’ in `seed’, `feed’, and `need’.
The word `recount’, on the other hand, means to narrate. In this case, the `e’ is like the `i’ in `sit’, `bit’, and `hit’, and the stress is on `count’.
*The students recounted their adventures in the Himalayas.