Could you possibly...

Meaning

A polite and slightly hesitant way to ask for a favor.

Examples

• John: '<b>Could you possibly</b> lend me your car for the weekend?'<br>
• Alice: 'I'll see what I can do.'
• John: 'Yes, I'd be happy to.'
• Alice: '<b>Could you possibly</b> give me some feedback on my presentation?'<br>