No, it's really not. Your fare should be waiting for you. Toss on your blinkers/signal and stop in the right most car lane while they hop in. Fare isn't there waiting for you? Circle the block until you find a place to pull over that isn't the bike lane and give them a call. Most blocks only have a bike lane on one or two sides at most and almost all have an alley since this is Chicago.
As someone on a bike I would never pass a car on the right in the empty bike lane if it was stopped in a traffic lane with flashers on, that's just asking to be doored or pedestrian'd with no escape route. I'd rather go around on the left with them in the bike lane.