Lab-on-a-chip systems seek to leverage microfluidic chips to enable small-scale fluid manipulation, holding significant potential to revolutionize science and industry. However, existing microfluidic chips have been largely designed with static fluid structures for specific single-purpose applications, which lack adaptability and flexibility for diverse applications. Inspired by the general-purpose design strategy of the customizable chip of integrated circuit - field programmable gate array whose hardware can be reconfigured via software programming for multifunctionality after manufacturing, a conceptual-new reconfigurable microfluidic chip - field programmable topographic morphing array (FPTMA) is devised with exceptional structural reconfiguration, field programmability, and function scalability for general-purpose lab-on-a-chip systems that beyond the reach of current state-of-art lab-on-chip systems. FPTMA can be software programmed to dynamically shape an elastic meta-interface from the initial smooth structure into desired time-varying topographic structures and thus generate spatiotemporal topographic-morphing-induced capillary forces to actively manipulate multidroplets in parallel and enable real-time reconfiguring diverse microfluidic operations/functions/flow networks as well as workflows. It is envisioned that the development of the FPTMA-driven lab-on-a-chip systems that leverage dynamic interfacial topographies to digitally handle microfluidics would significantly stimulate numerous technological innovations in biology/medicine/chemistry.