Yes, if we don't think of other meanings of the word "offer". But I think that a suggestion is not always an offer. Somebody asks:"Do you want to listen to the radio?". If she/he is willing to help you find a radio or lend you her/his radio then I would consider it an offer. But if she says afterward:"Then let's go to pub and listen to the radio!" then it would not be an offer in my opinion.