As an emerging energy storage device, zinc ion hybrid supercapacitors (ZHSCs) have attracted wide interest because of their intrinsic safety, high energy/power densities, and long cycle life. However, problems of liquid leakage and zinc dendrite growth seriously hinder its widespread application. To solve the above problems, a gelatin/polyacrylamide/agarose/Zn(CF₃SO₃)₂ hydrogel electrolyte (G/PAAm/AG/Zn(CF₃SO₃)₂) was designed by constructing a multi-crosslinked network of physically crosslinked gelatin and agarose coupled with chemically crosslinked polyacrylamide. The tested results show that G/PAAm/AG/Zn(CF₃SO₃)₂ can effectively prevent electrolyte leakage and inhibit zinc dendrite growth. Moreover, G/PAAm/AG/Zn(CF₃SO₃)₂ possesses high ionic conductivity (2.64 S m⁻¹), high tensile strength (72.4 kPa at 489.2%), and high compressive strength (164.5 kPa at 80%). Additionally, a highly connected porous carbon material (denoted as HSSPC) with high specific surface area (2930.9 m² g⁻¹) was synthesized, which exhibits a reversible capacity of 183.5 mA h g⁻¹ and good cycling stability (the capacity remains at 96.6% after 10 000 cycles). More importantly, the quasi-solid-state ZHSC based on G/PAAm/AG/Zn(CF₃SO₃)₂ and HSSPC delivers a high specific capacity (122.8 mA h g⁻¹, 0.25 A g⁻¹), high energy/power densities (96.1 Wh kg⁻¹/14.4 kW kg⁻¹), and good cycling stability (capacity retention can be maintained at 114.0% of the initial capacity after 14 000 cycles).