Sure there is: you say 'hey, how about this thing is true about our characters' relationship?' and then the other player is like 'no, that doesn't make sense' or 'sure, okay' or some in-between variation.
I would also be reluctant to give the Battlebabe a bar, but having them work at one seems fine. Same with the Angel delivering drugs -- that sounds super juicy for fuckery. The 'gigs/moonlighting' combo is not the only way to have a job in AW, it's just the most mechanically clear-cut.
The reason 'having a bar' seems like too much mostly has to do with the status quos of AW. In my experience as both MC and player, it is challenging to create backstory for your character in a way that does not start to look like a status quo -- players tend to describe their character as always having been doing this one thing, or having been in the area for years and years, or having owned that bar since they were two, or whatever.
So it's fine to let people start with a job ongoing, but it's important as an MC to immediately put that under pressure in a way that suggests that it is impermanent and tenuous -- and since it's not really part of what makes the character, you can push way harder than you would if you were threatening an Operator's gigs or a Maestro D's establishment. Similarly, if the Angel weathers the difficulties with her drug-smuggling/distribution scheme for long enough -- either long enough to get an advance and buy 'gigs', or long enough that they have descriptively secured that activity -- then that should go on their character sheet and your attitude towards it should shift a little bit.
Because now they've earned it, basically. Playbooks start with some stuff pre-earned, but they also tend to point towards other things (with the Hx moves, generally.) If a player seems like they're trying to grab a lot of stuff in chargen that they haven't earned, then sure, you CAN just be like 'whoa, dial it back, that's not on your sheet' -- but you can also take it as the player establishing what their initial goals are going to be as a PC, and bring some MC pressure to bear until we find out whether or not that's really something they can pull off.