As an integer is a whole number (0, 1, 2, 3,and so on), I would say "No."
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No, there are not.
Integers between 0 are -1 and +1
Integers between 0 are -1 and +1
The integers between -4 and 0 are -3, -2, -1 (along with the -4 and 0).
The only integer between -1 and 1 is 0.