Can I start working before completing graduation?

So, I am a master student here in NTUT, and I have 4 months left to graduate officially. Now a company wants to hire me. I was wondering, if its possible that the company can apply for my work visa even though i am not graduated yet?

Depends on the employer. Usually they want that degree completed and in their hands, but if you’re lucky you may get someone who likes you and will cut you a break… that’s rare though. Often they need the physical degree in hand for official purposes.