Emergency prehospital wound closure and hemorrhage control are the first priorities for life‐saving. A majority bioadhesives form bonds with tissues through irreversible cross‐linking, and the remobilization of misalignment may cause severe secondary damage to tissues. Therefore, developing an adhesive that can quickly and tolerably adhere to traumatized dynamic tissue or organ surfaces in emergency situations is a major challenge. Inspiring by the structure of human serum albumin (HSA), a branched polymer with multitentacled sulfhydryl is synthesized, then an instant and fault‐tolerant tough wet‐tissue adhesion (IFA) hydrogel is prepared. The adhesive application time is just 5 s (interfacial toughness of ∼580 J/m2) and favorable tissue‐adhesion is maintained after 10 cycles. IFA hydrogel remains unchangeable adhesive performance after one month of storage based on the internal oxidation‐reduction mechanism. It not only can efficiently seal various organs, but also achieves effective hemostasis in models of the rat femoral artery and rabbit‐ear artery. This work also proposes an effective strategy for controllable adhesion, which enables the production of asymmetric adhesives with on‐demand detachment. Importantly, IFA hydrogel has sound antioxidation, antibacterial property, hemocompatibility, and cytocompatibility. Hence, the HSA‐inspired bioadhesive can emerge as a promising first‐aid supply for human‐machine interface‐based health management and non‐invasive wound closure.This article is protected by copyright. All rights reserved