<p>manoovi - it depends on how you intend to achieve this career switch. A second bachelors would be the slowest and most expensive means but the only one that would eliminate the most problems with the actual switch - please note that I am NOT recommending this. Getting into a ChemE or BioE grad program will be extremely difficult and may still limit you a bit in the future, but is not impossible and will probably be both faster and cheaper than that second bachelors.</p>
<p>Of course, getting in to that grad program will be quite the battle. A given grad position in a particular lab will typically expect 2-4 senior-level courses related to the position. Those courses will typically require several other engineering courses as prerequisites, which will in turn require a bunch of math, physics, and chemistry, and not having your transcript in front of me I am going to guess that you have completed NONE of that.</p>
<p>So realistically you probably need a good couple of semesters worth of classes, spread over 2+ years, just to get to the point where you are even eligible to apply to one narrow slice of one of those fields.</p>