They say the same and are both grammatically fine. Simplicity of style recommends #1.
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.
AnonymousI am tempted to say that number 1 claims "Only one of the two cities mentioned has delicious food." However, I think number 2 says "Delicious food exists in both of the mentioned cities."Why so?
Yes, both are grammatically correct, and though the first sentence might seem odd to the ear, there is no grammatical error in it.
And to the second question, yes, they do communicate the exact same meaning.
The only thing is that the proposition's (in) place / position has changed.
You will also find that the first form (in either NY or LA) is used less professionally.