Can a cryptocurrency wallet cross-chain atomic swap?

Could you elaborate on the technical feasibility of a cryptocurrency wallet performing a cross-chain atomic swap? I'm curious about the underlying protocols and technologies that would enable such a transaction. Is it a straightforward process, or does it involve complex integrations and intermediaries? Additionally, are there any security concerns that arise when conducting cross-chain swaps, and how are they mitigated? Understanding these aspects would help me gauge the practicality and reliability of this functionality.