A second woman on Monday accused Joseph R. Biden Jr. of touching her in a way that made her feel uncomfortable, intensifying the scrutiny of the former vice president’s close physical interactions with women over the years as he prepares for a likely presidential bid.

The woman, Amy Lappos, said in an interview with The Hartford Courant that Mr. Biden “put his hand around my neck and pulled me in to rub noses with me” at a fund-raiser in Connecticut in 2009.

“When he was pulling me in, I thought he was going to kiss me on the mouth,” she said in the interview. She said the encounter “wasn’t sexual” but that there was “a line of respect’’ and Mr. Biden had crossed it.

[Joe Biden’s hugs and kisses were well-known in Washington. Now he faces a generational reckoning.]

Her allegations follow a weekend in which Mr. Biden defended himself against a similar complaint from a former Nevada assemblywoman, Lucy Flores, who said in an essay published on Friday that the former vice president had touched and kissed her inappropriately at a campaign event in 2014.