Do you think I have to chance to get into IB ?

Because of my "weird" path and my age, I would like to know your opinion concerning my chances to get into IB.

I am 26 years old, i used to study medicine before but was kicked out because I couldn't attend the courses due to a sickness and to money issues...
After solving all theses issues I decided start over again and I went to economics ( where i look like a grandpa compare to other classmates :) )

I am now a penultimate year student in economics from a average university in UK with an expected second-class honours or upper second class ( if i don't screw up).
I got an internship in a real estate private equity firms last summer.

My long term goal would be to end up in a PE or venture firm specialized in pharma.

My opinion is that investment banks look for student with a straight path and will not even look at a profile like mine. Do you agree ?

If yes, do you think i could still, without IB experiences expect a career in PE if i do a master in Finance in a top tiers university?

Thank you very much for your honest answers

Bo