<p>With just an undergraduate degree in biochemistry it is extremely unlikely you will be able to prosecute (write) patents in the field. It is a complex area which includes much of biotechnology and pharma. All the patent agents I know are PhDs. </p>
<p>If I were you I would focus on computer science. There is currently a huge shortage of trained patent attorneys in software and there is little benefit of having an advanced degree. Chemical engineering is also a busy patent field and a bachelor’s degree is usually sufficient.</p>