When I make an appointment with my hair stylist, can I say "Can I meet you at 6?" ?
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A more appropriate expression is
Can I make an appointment for 6 (am/pm)?
Is 6 (am/pm) available?
I'd like to make an appointment for 6 (am/pm). Is that time available?
"Can I meet you at 6?" is used more for casual situations, like when you're meeting a friend for lunch or coffee.
In general, we arrange to "meet" someone in a public place. If you are making an appointment to go to the hair stylists's salon, you might say "shall I come at six?"