Can I drop off a passenger on the left side of the curb?

If it is a two-way street and you are pulling over into the opposite lane of traffic with your car facing the wrong way, it is most likely illegal and a citeable violation, if seen by law enforcement or traffic cameras, no matter what time of day.

It could also be dangerously startling to other drivers if they were to come upon your car in their lanes of traffic.

If there is no other traffic, why does your friend not wish to cross the street?

She's afraid to cross the street

Isn't there are driveway or entry way you could make a left hand turn into, then back out after she gets out?

If she lives in a house, there must be a driveway. If she lives in an apartment, there must be some type of entry way.

No drive way or entry way. Just a curb.