Nope... Like Wii Sports before it, Wii Sports Resort was made as a tech demo/game to show the advantages of the Wii Motion Plus attachment.
To get away from the annoyances of such problems, I took my old Wiimotes into Gamestop and bought the newer design with Motion Plus built in. Had to have it anyway as I wanted to get my groove on Skyward Sword (which requires the motion plus remote or attachment to the original).