Answer: Yes it is possible
Here's an example
Original set = {1,2,3,5,7,11}
Subset A = {1,2,3}
Subset B = {3,5,7}
The number 3 is in both subsets A and B.
{1,2,3} is a subset of {1,2,3,5,7,11} since 1,2, and 3 are part of the original set. Similar reasoning applies to subset B as well.
Something like {1,2,9} is not a subset because 9 is not found in the original set.