It will depend on the context.
If you are referring to some task you want done, it would mean "Could you finish it earlier?"
If you are talking about a meeting or event, it would mean "Could you change plans to meet (or come) earlier?"
Examples:
"We can have your car fixed by Tuesday."
"Could you make it earlier?" = Could you finish it earlier
"I'll be over to see you at about 8:00."
"Could you make it earlier? We're going to a movie." = Could you plan to arrive earlier?
It does not necessarily mean as quickly as you can. It just means earlier than the original time given.