Here's why:
* "Or no" is redundant. The question already implies the possibility of "no." "Would you like to go to the store?" implicitly asks whether the person would like to go or not.
* It sounds informal and even a bit childish. While some dialects might use this construction, it's not considered proper English in most contexts.
Here are better ways to phrase the question:
* "Would you like to go to the store?" (Simple and direct)
* "Do you want to go to the store?" (Slightly more casual)
* "Are you interested in going to the store?" (More formal)
Remember, clear and concise communication is always best!