I was wondering if you are playing Texas Hold 'em (or any other game where your hand is more than 5 cards), could you get two straights?

For instance, you have a 2,6 and the community cards are 3457K

Do you have a 2,3,4,5,6 straight and a 3,4,5,6,7 straight?

I guess the fundemental question is if each card can be used for 2 or more combinations at the same time.