The answer is YES. About 50% of my pupils sing along to their playing and 50% play the melody. The latter is more difficult but Hey this wasn't meant to be easy!!!!
Whats great about just playing instrumentals is you can add your own take to a song and make it your own original. Below are 2 intermediate examples. My own arrangements of Someone Like you by Adele played in a Jazz style with jazz chord voicing and Hans Zimmers theme from the movie interstellar