"Standing on the Corner" is more famously known from the 1938 film "Going My Way" starring Bing Crosby and Barry Fitzgerald. It was written by Hoagy Carmichael and Mitchell Parish.
Stubby Kaye was primarily known for his comedic roles in musicals like "Guys and Dolls" and "The Pajama Game," and his distinctive voice.
It's possible he may have performed the song at some point in his career, but it's not one of his most well-known or associated songs.