Is there odd functions where a zero of positive x-axis doesn't have necessarily a symmetric?

What I mean is, consider an odd function where its positive zeros are x=1, x=2, x=3. Since it is odd, it has a symmetry related to origin of referencial, so there are also the zeros x=-1, x=-2, x=-3. But is it possible to have an odd function with x=1,x=2,x=3, x=-1 and x=-2? Where x=3 doesn't have a symmetric.