Enough to be a Trader at IB???

Hi!

I'm currently finishing my MSc in Quant finance at an European University (not the most famous but well quoted) with an OK GPA.

I have a Bachelor in Business from a somewhat unknown uni in Europe as well.

Previous to my masters I worked as a P&L Analyst for a major IB for 1 year.

During my masters I really developed my Math and Stats skills as well as my coding skills with are pretty sharp in R and Python. I also know VBA.

I don't really have experience in Finance outside my year working because I had a part time in normal sales (non finance related) and a summer internship in logistics during my bachelor.

During my masters I also did an investment program that my uni had where we manage real money to teach us about trading, risk, asset allocations etc.

I really want to start a job at a trading desk at a big bank in London preferably, do I have enough to make to a summer/off.cycle internship in Trading?
 

If not, where could I improve?

Thanks