No, he passed away earlier this year. (2011)
The creator of the show John Sullivan sang both the opening & closing theme. He wanted Chas & Dave to do it but they were busy. Chas & Dave sang the closing theme on 'The Jolly Boys Outing' special.
john Sullivan
john sullivan, who also wrote the scripts and the song
ONLY FOOLS AND HORSES Theme from the BBC TV Series "Only Fools And Horses" Written & Performed by John Sullivan - 1981
I would say that it is highly unlikely seeing as the writer of Only Fools and Horses, John Sullivan, passed away on the 23rd April 2011 at the age of 64.
The writer, John Sullivan, was going to call it Readies.
John Sullivan died in 1795.
John Jeremiah Sullivan was born in 1974.
John C. Sullivan died in 1830.
John Sullivan House was created in 1764.
John B. Sullivan died in 1951.
John B. Sullivan was born in 1897.