Yes they are tough, but someone has to get them (when they start up again is anyone's guess).
Your degree and general educational background sound fine to me, and your swimming is a good CV/application form eye catcher.
But don't just think "will I get to the next round", think about what will be required of you to get to the final round and hopefully a sponsorship. A good, and I mean good, knowledge of aviation will be required by interviewers, not just "I wanna fly, always have done" type answers as that should come across generally anyway, or come out as part of your answers.
A decent mathematical/numerical ability will also need to be demonstrated via aptitudes.
Don't take this the wrong way, but how serious are you about it ? You say you have thought about it seriously just in the last 6 months although always dreamt of it. To me, that doesn't particularly jump out and demonstrate great desire to fly. What would you do if you didn't get a sponsorship ? Modular ? Or something else ?
Please don't get me wrong, I'm not having a go even before you've got started, but this is the type of thing interviewers would question too.
If you're serious, maybe book a trial lesson or look at the UAS whilst at university.
Good luck if it really is what you want, and I'm sure many others on here can give you good advice, but I hope you know that it is what you want.
If it is, then yes, you are in with a chance.
all the best.
