Ahh the IR. You'll need to pass a bunch of exams for that, the vast majority of pilots do the ATPL subjects which give you IR theory credits.
UK CAA IR If you're studying full time, a PPL is do-able but I would urge caution about the IR. If you were doing a degree in vegan basket weaving, I'd say you've got the capacity, but you're doing a pretty intensive academic course.
Things to consider. A PPL won't offer you much "credit" for a full time course. So be aware of those costs.
ATPL subjects have a "time limit" before they expire (3 years). You'll need an IR to keep them valid for a few more years. (There's more to it but you'll get the gist). 3 years sound like a lot but a few friends have been caught out and literally ran out of money and time.
Focus on getting that degree, get a job ideally in the industry, make sure you don't jeopardise your medical (You can pass the Class 1?)