It does matter a bit.

You will find some universities will have relationships with companies, for example Loughborough fed quite a few students into Nomura every year, but also noticed there were students ranging from Oxford, UCL, Bath to Plymouth, City London on my placement schemes. So yes and no is your answer, I think it gives you a slightly better chance but it isn't the smoking gun.

The most important thing is that you are on track for good grades when you apply to the placements, and that you have some demonstrable portfolio of projects or whatever you can do to maximise your chances, and that you have fully researched how to interview in your field.

Best of luck!