Yes, the sentence is correct.
But be aware that 'Pick me up' can mean several things.
If you're on the floor, 'pick me up' means to help me get up off the floor.
It can mean to come and give me a ride.
It can also mean to try to establish a relationship with someone - as in 'picking up girls in bars'.
In this case it is clear that it is the second, but it could be embarrassing if it was ambiguous.