Possible? Yes, remotely. If he was a mole, entirely possible, but he clearly wasn't - he was the Aztlan equivalent to a Navy SEAL or an Army Ranger - and when you're outside of the country in a city which is antagonistic to your nation, you aren't out there to schmooze some bint and make beautiful babies with her. You save that for when you can actually relax and not worry about whether or not the girl is going to stick a shiv into your brain by way of your ear canal because you're from Aztlan and she's from a contested city. Instead, when you're there, you're on an operation, and screwing around (literally) will get you six in the stockade for dereliction of duty. Or, y'know, just shot.
Take a look at Bogota's Shadowrun background in 'War!' Consider selecting a different city - doesn't have to be Tenochtitlan, could be somewhere else, even somewhere in South America - Venezuela, perhaps - but it probably isn't going to be the equivalent of a US Marine picking up a wife in Fallujah today, you know? Honestly, it's only the city that should be changed; any city inside Aztlan (and outside of the Yucatan) would do.
Also, revisit the money source on the implants. A comfortable lifestyle is 1k-2k per month, perhaps up to 5k; considering he has a wife and daughter, at least one of which is requiring steady physical and psychiatric care, whatever money he makes as a Company Man (because by the reading, that's pretty much what he becomes) is going to get eaten by that.
Instead, reconsider what the girl actually is - highly troubled, angry, hating her own body's weakness. With her father an Aztechnology agent, and herself in an Aztechnology school (even if they probably told her to 'keep those claws sheathed, young lady!!'), she turns 15 in 2066 and gets the hand-razors, moves to Tenochtitlan, and her mother kills herself only 2 years later - 2068. She's had direct corporate programming during those two years, and these are just the sort of people to nurse and direct that sort of hatred and self-loathing. "Yes, the weakness of flesh is terrible. It's too bad you can't afford to replace it with something more durable, like the agents in the AZT hit series 'Cyborg College' do ... did you know that that's based off real case-studies of members in our Advanced Cybertechnology Replacement Studies Group? Mmm, too bad you have to get your parents' permission to join that. Or, you know, be seventeen ..."
In other words, why wait five years for Daddy to die? Join up, go under the knife, start doing work for the corp.
Then Daddy dies. And something seems weird about it or something, and you start poking into it on and off for a year or two, until you find something you're not supposed to, and in a week of shocks, betrayal, and violence you break from the company, go underground, and flee for somewhere else - somewhere where you can still hunt the wo/man responsible for your father's death, a place otherwise known as Seattle.
You aren't really 'out for yourself' - you just have an overriding goal, and other runners are only a means to that end.
