Maybe – and maybe not.
You can certainly apply for one, and you may get approved. But whether you get one depends largely on your credit history, and you probably don’t have much of a credit history yet. It also depends on how much income your job pays. If you make a solid salary, some credit card issuers may overlook the fact that you don’t have any credit history.
At this point, your best bet may be to look for a card that accepts applicants with limit credit and apply. There is no charge to apply for a card so the worst that can happen is a denial.
However, be selective about your applications. Applying for many cards at once can be a red flag for creditors so limit yourself to one or two applications at first.