Answer:
False. The sentence is incorrect.
Step-by-step explanation:
"Going to the store to buy some more water and snacks. " is a fragment. The correct version would be "He* is going to the store to buy some more water and snacks." Think about whether the sentence makes sense on its own. In this case, it doesn't. Who is going to the store?
*Could be replaced with a lot of things, I'm, She, It, etc.