They do not have DIRECT access.
They have INDIRECT access, which means they phone (or maybe e-mail if they are not in a hurry) a contact here, say why they need to know and get told/sent details if it's justified. That's still not ACCESS as such. It's sharing specific information through channels
They do have access to a shared list of those of interest to the authorities in both countries - what you need to have done (or maybe not done) to get on that list is ill-defined. I doubt if some minor indiscretion as a teenager would be there - though if you were a small time drug dealer or a member of a subversive group it might be.
And even if it's not, <<given sufficient reason>> they would still be able to find out about it