Both “Can you give me a hand?” and “Can I lend you a hand?” are expressions used to offer or request help: 1. “Can you give me a hand?” – This means “Can you help me?” or “Can you assist me with something?” It’s a polite way to ask for help. 2. “Can I lend you a hand?” – This means “Can I help you?” or “Do you need any assistance?” It’s a polite way to offer help to someone who might need it. Both are common idiomatic phrases, with “hand” symbolizing assistance. | British English Plus