Will PRNG sequence with different seeds overlaps in C

If I set the seed to 0 in C, I will get this sequence after calling rand() three times:

38, 7719, 21238, ...,

If I set seed to 1 (srand(1)) I will get this other sequence:

41, 18467, 6334, ...,

I know that is's very improbable, but will the sequence of srand(1) be present in the sequence of srand(0) at some point? I mean, using srand(0) will I get:

38, 7719, 21238, ..., ..., ..., 41, 18467, 6334, ...,?

Thanks!