No. MEMS means electromechanical, and scintillation needs solid state: a crystal and a photon detector of some kind. The crystal can't be miniaturized because there's a minimum thickness you need to capture the photon and Compton electrons*.
Although some weird Japanese phone makers did have smartphones with radiation detector built-in (SHARP 107sh and 205sh), I don't think it would be a popular feature.
There isn't so many cases in daily life that one can encounter a radioactive source. Even if you are actively looking for one (don't do it), you will have a hard time if you don't work with radioactive sources occupationally.
Also, it's not physically possible to create a small and yet sensitive radiation detector.