Word for word, no. In principle, yes.
Luke 12:6 - Are not five sparrows sold for two copper coins? And not one of them is forgotten before God.[NKJV]
His Eye Is on the Sparrow was created in 1905.
His Eye is on the Sparrow
A sparrow with a white eye stripe has a distinguishing feature of a white stripe above its eye.
The word "sparrow" is in the King James Version of the Bible 2 times. It is in 2 verses.
Eye on the Sparrow - 1987 TV is rated/received certificates of: UK:PG USA:PG
Eye on the Sparrow - 1987 TV was released on: USA: 7 December 1987
Eye on the Sparrow
Family Dog - 1993 Eye on the Sparrow 1-5 was released on: USA: 7 July 1993
Baretta - 1975 Keep Your Eye on the Sparrow 1-10 was released on: USA: 9 April 1975
Baretta - 1975 Keep Your Eye on the Sparrow 1-10 is rated/received certificates of: Canada:PG (video rating)
His eye is on the sparrow
Jesse cambell