Yes, my ds is exactly the same. He is ok when out and about, but if at home spends most of his time whinging.
I asked my HV about it, and she said that it is a sign of a bright child, and that he will stop moaning when he can walk and talk, because then he will be able to do more things for himself, and will not be frustrated all the time.
My ds is one too, so both of us don't have much longer to wait!! All I can say is, try to keep a sense of humour about it. When my ds was little, I used to get very down about it, and so did dh, but now I can 'ignore' it if I know that he is fed, changed etc. I try to get him out of the house as much as possible.
Good luck, and keep in touch to let me know if yours stops!