Absolutely no, Snooperscope has a double magnet and will not damage the interior components of the smartphone.
Many smartphone and iPhone iPad accessories are designed with and use magnets including Apple's cases and covers. The magnetic field of almost all magnetic devices available to consumers will not hurt magnetically stored mediums.
LCDs, LEDs & Plasma screens are quite invulnerable to small magnets.
Mobiles & cameras have LCD screens, so no effect of magnets. They have flash memory, so no damage from magnets even here.