Think you meant "registration"
No. The Polish term is rekrutacja, which makes it sound like recruitment but the meaning is actually more like 'application period'. That's the deadline he missed.
There is a process of odwołanie (appeal) but that's for people who applied in time and failed to get in.
Also, many programs have late rekrutacja if they need more students (and/or positions might open up if accepted students don't show). The mentality of Polish office workers would not to mention these unless specifically asked.
Knowing what question to ask is key in dealing with any bureacracy (especially in Poland).