Logically, "Someone can A if B" does not imply "If not B, then not A". The relevant concerns are necessary and sufficient conditions:
A necessary condition of a statement must be satisfied for the statement to be true.
A sufficient condition is one that, if satisfied, assures the statement's truth.
In your first example, "Someone can A if B" says B is sufficient for A; it does not say that B is necessary for A. There might be other conditions besides B that make A possible.
If you want to say "B is an option [that ensures] A, but B is not necessary to achieve A" with some precision, then perhaps say "B is sufficient but not necessary for A."
Saying "B is an option for A" is not quite right, because it does not mean "B is sufficient for A" but instead connotes that if you choose A, then B is available as an option.
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