Yes. Many students at universities in the UK have part-time student jobs, typically in hospitality, academic tutoring or for their student union. If you are international, there may be restrictions on the total number of hours you are allowed to work. There should be a sticker in your passport indicating the exact number (usually 10 or 20 hours). Your university may also provide guidelines about the maximum number of hours you should work, in order to ensure you have sufficient time to dedicate to studies.