The royal showed visibly swollen fingers when he took a sip of beer at the Prince of Wales pub.
Meghan Markle and Prince Harry are expected to welcome their second child, a daughter, on Thursday, according to a report.
Duke of Kent previously accompanied Her Majesty at birthday celebration in 2013
The Prince of Wales, 72, is seen perched on a statue in Balmoral in 1951 as his parents and grandfather watch affectionately in a post which marked the first Father's Day without the late Duke of Edinburgh.
University apologises for ‘causing harm’ and says picture was not to commemorate him
The Duke and Duchess of Sussex share two children: son Archie, 2, and daughter Lilibet, who was born on Friday.
The Duke of Edinburgh would have turned 100 on Thursday 10 June
The photo shows Charles as a young boy grinning happily with his parents Elizabeth and Philip, and his grandfather, King George, at an event in Balmoral in 1951.
Biden made the public comments after a meeting with UK Prime Minister Boris Johnson.
‘To all dads everywhere, we wish you a very special Father’s Day’
Prue Leith, Ruth Wilson and Englebert Humperdinck are among other recipients
The Prince of Wales made the comments during a visit in Oxford