Lots of students work part time jobs while attending school.
In fact I would not be surprised if you told me most of them work and still have time to study and make the Deans list.
The hospitality industry is IMO a perfect fit with culinary students who need to support themselves as most are positions that require you to punch in after the days classes are complete.
I worked full time ( bartending, baking for caterers and waiting tables) for the entire 4 years of nursing school and graduated with a 3.8 GPA.
Never missed a lecture , a lab nor a clinical assignment worked full time AND raised 2 beautiful, smart and independent girls as a single parent (can I add here I never missed a dance recital or a t-ball game?)
So yes it can be done.
Just takes a strong will as well as a good work ethic.
Don't know anything about school/work visas for non citizens of Bulgaria......
Are you (a citizen?)