Answer
No. Because P(only English) + P(only Spanish) + P(only Polish) $\gt$ 1
Work Step by Step
The events "a household speaks only Polish at home", "a household speaks only English at home" and "household speaks only Spanish at home" are mutually exclusives. But:
P(only English or only Spanish or only Polish) = P(only English) + P(only Spanish) + P(only Polish) = $0.81+0.12+0.08=1.01\gt1.$
It is impossible.