Maybe. How similar is your degree to the degree normally required for the job? How much related work experience have you had?
To obtain an H-1B visa for an employee, the employer must show that the job offered normally requires a college degree in a specific field, and that the employee has this specific degree or its equivalent. I’ve already discussed how to show equivalency if you don’t have a degree, or if you are very close to graduation, but what if you already have a diploma, just in a different field?