Question: Is this sentence correct? "Is there any room for me in the car?"? 

Answer: This sentence is correct. There a verb, the verb is "is".\nIs there room? " Is there any room?" is correct, although the "any" is not needed.\nPerhaps "Is there room for me in the car is preferable", but \nyour sentence is fine.\nAfter all, think of this sentence: "You can stay with us if there is  room".  A perfectly acceptable response would be, " Is there any?" , Is there any "what"?  Is there any room?\nAn analogous sentence is "Is there any  cake left?" \nIs there any cake for me in the refrigerator?\nAll are good sentences using "any".
This question from the Yahoo Q&A forum is categorized in the topic: Society & Culture