I'm not saying "accidentally" meet, I'm saying just regularly meet. Ideally, he gets his friend to introduce them, but at the very least, be in a situation where he has a legitimate reason to talk to her.
Ask a pretty girl sometime how many messages like that she gets. From the few friends that I have asked (yes, anecdotes are not data, but still), it's a lot, and they generally respond with a block. Sometimes they tell them to piss off first.
Either way, I don't think it sets a good tone for starting a relationship with a girl Akura says he loves. Asking a girl out for coffee over facebook pretty much purely says you only know her by physical appearance, and from that, there's only one assumed motive.
Meeting someone at a party/on a road trip/at the movies/whatever it is you do with your friends means there is some other reason than just physical attraction driving the interaction, and if Akura truly wants a real relationship with a girl, it's better to let things develop over a few days than starting things straight up with a coffee shop date, and all that entails.
EDIT: Basically, he should aim to make her his friend first, and then try and become her boyfriend if he still likes her once he knows her. The "friendzone" is a bullshit phrase used by people who don't understand how relationships work, and becoming someone's friend is not some terrible fate.