Undergraduate: Management At Top School?

Hello,
I'm a 17 year old Swedish prospective university student hoping to study in the UK or USA, with my main choice of schools being LSE, WBS, UCL, amongst others.

Since I was 12 I have been programming and developing different apps and websites, something which sparked an interest in entrepreneurship and consequently economics for me. I came to found my own company in late 2013, a consulting company within the field of IT. This is my main merit which I hope to elaborate upon when applying to uni.

I feel like I, because of my work, have a greater chance at getting admitted to Management, in particular the IT Management program at Warwick Business School, which if I recall correctly is ranked highly in investment banking.

My question is: is it possible for me to still work within investment banking (my dream is to work in M&A but anything within the field is interesting to me) if i choose Management or IT Management as my undergrad? Or is it better to study Finance but at a "worse" university (as I believe my extracurriculars + grades would make it hard to be admitted in finance at a top uni)?

I would greatly appreciate any answers