Yes, Kukai Wallet does support a dapp browser. The dapp browser is a feature that allows users to access and use decentralized applications (dapps) directly from the Kukai Wallet. This makes it easy for users to access a wide range of dapps without having to leave the wallet interface. Furthermore, many dapps are designed to be compatible with Kukai Wallet, allowing users to securely store and manage their crypto assets while using the dapp.