Was the ring already affecting Frodo by the Council of Elrond?

I've read the LOTR books and watched the films many times, but reading other questions about it on SE I got to thinking.

Is there any indication that Frodo accepts the quest to Mount Doom in order to keep hold of the ring?

He had the ring for 17 years, and whilst he never put it on it was still in his possession. And he wore the ring on 2 separate occasions (3 in the book) on the way from the Shire to Rivendell.

Before the Council of Elrond, he had no plans other than to return to the Shire.

I understand that his selfless nature was why he chose to continue on as the ring-bearer to destroy the ring. But could there have been more to it than that?

It seems entirely out of his character to decide to go all of that way all of a sudden, even if he was at that point the best choice for taking the ring.

If I remember correctly in the original book, he volunteered to go because no one else would. But was there any indication, even the slightest, that he volunteered in order to be able to keep hold of the ring?

Was there any sign that it had already begun to have a hold on him?