It is indeed. Out of curiosity I tracked down the movie this was taken from. https://www.amazon.com/Black-Big-Bands-Cab-Calloway/dp/B00YSP2LKA
Here are the personnel for the Millinder band:
BOARDING HOUSE BLUES (1948) (excerpts) Lucky Millinder & His Orchestra:
Personnel (prob.): John Bello, Harold Johnson, Archie Johnson, Leon Meriam (tp), Alfred Cobbs, Gene Simon, Frank Mazzoli (tb), Burnie Peacock, Sam Hopkins, George Nicholas (as), Clarence "Bullmoose" Jackson, Sam "The Man" Taylor (ts), Ernest Purce (brs), Sir Charles Thompson (p), Bernard Mackey (g), Jerry Cox (b), Panama Francis (dr), Lucky Millinder (dir/vo).
"Unidentified title" (2:28)
"Sweet Slumber" (3:56) (Lucky Millinder) vocal by Paul Breckenridge
"Let It Roll" (2:39) (Berry) vocal by Annastine Allen
"I Love You, Yes I Do" (3:27) (Andy Gibson) vocal by Clarence "Bullmoose" Jackson
"Do The Hucklebuck" (3:27) (Andy Gibson/Roy Alfred)
Note that Annisteen Allen's name is misspelled.