SOLUTION:

 

The answer is NO.

If we have a binary answer (yes or no) then we can only determine 2 options and not 3, which is the cakes we have.

The closest solution that we can give is:

So, one question is sufficient to finding a single non-poisonous cake but one question is insufficient to determine the poisonous cake.

Please SHARE This With Family and Friends To See If They Can Solve The Puzzle!