Yes, but in that case, the two integers will be the same. However, you could have reached them in different ways.
For example suppose M = 5 - 2
and N = 9/3 are two integers.
Then M - N = 0
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7 and -4
8 and -8 8+(-8)=0 8-(-8)=16
That's because the integers may be negative. For example, the sum of (-6) and (-6) is (-12), which is less than their difference (0).
The only mathematical difference is that the set of integers (excluding 0), with two exceptions, does not have inverses whereas the set of rational numbers (excluding 0) does. This is equivalent to the statement that the set of non-zero integers is not closed under division whereas the set of non-zero rationals is.
The integers are -7 and -5.