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According to mathematics, everything has its opponent. Suppose something is $x$. Let $x = 5$, then $x^2 = 25$, and again if $x^2 = 25$, then x may be positive or negative. In the same way, let $x = time$, then is there something like $antitime$?

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At least in the world of mathematical physics, there is, and here is an example.

A charged particle traveling forward in time from one point to another may be considered indistinguishable from its antiparticle counterpart (identical to it except carrying the opposite charge) traveling between those two same points, only going backwards in time.

A fairly good exposition of this is contained in Feynman's Dirac Memorial Lecture, which can be viewed on youtube or read in the book of the same name which contains it.

niels nielsen
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