Just as I cannot fly, I cannot predict the future.

Literal

Cannot-fly [nominalizer-の] [with-と] same-way I [topic-は] future [object-を] predict-cannot.

~のと同じように draws an analogy between two impossibilities. 予言できない uses the potential negative: 'cannot predict.' The comparison feels somewhat contrived — this reads like a translated sentence rather than something naturally said in Japanese.