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This study presents an active flow control strategy employing a programmable shape\u2010morphing system actuated by Lorentz forces in liquid metal\u2010embedded microfluidics. The proposed system enables rapid, reversible, and three\u2010dimensional deformations of a thin elastomeric membrane without the need for external flow sources or high\u2010voltage inputs. The platform is evaluated for its capacity to induce distinct motions at various incoming velocities, revealing significant effects on momentum change. The study integrates advanced experimental techniques, reduced\u2010order modeling, and state\u2010of\u2010the\u2010art numerical methods to validate the system's versatility and performance. The findings highlight the potential of this soft actuating system to enhance flow control strategies, with potential applications ranging from improving the aerodynamics of bio\u2010inspired flying sensors to mimicking natural locomotion mechanisms in low\u2010velocity regimes. 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