This study introduces the soft tactile electromagnetic (STEM) actuator, a compact and wearable haptic device designed to deliver multimodal tactile feedback in virtual environments. The actuator employs soft materials as both an energy-storing and encasing structure, enabling out-of-plane deformations in response to arbitrary input signals while ensuring high wearability. Magnetic reinforcements, including a soft magnetic cap and a ferromagnetic pole piece, minimize magnetic flux leakage, effectively amplifying output force along with protrusion to enable precise and varied haptic feedback. The actuator generates multimodal tactile stimuli, including force, impulse, and vibration, surpassing conventional vibrotactile devices in delivering more varied and dynamic feedback. Experimental evaluation of the actuator's mechanical performance demonstrates its ability to produce both low- and high-frequency tactile feedback. A user study evaluating perception thresholds and signal recognition accuracy found that participants identified eight distinct tactile signals with an average accuracy of 91%, confirming the actuator's capacity to deliver distinguishable multimodal feedback. These findings underscore the feasibility of the STEM actuator for immersive haptic interactions and highlight its potential applications in virtual reality.