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With current evidence, the answer is no.

Whilst many stars will have a planetary system (Solar System) many will not. The prime candidates for not having any planets are binary and multiple star systems.

This is because the gravitation tug of the multiple stars, inhibits planet formation. Our closest star system, Alpha Centaur which is a binary system, has failed to produce any planets, whereas further away stars have, This seems to suggest that the theory is at least partly true.

Planets have been found in binary systems, but they are rare.

So: Not all stars have planets.

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