Yes. Legally you can work on a DP. The hiring company requests a letter of consent from MOM which is normally granted.
As for actually getting a job, that is another. The Singapore govt is dumping lots of money into research and start ups in pharma, water, biotech, and nano technology, so you have a relevant, if junior, degree.
I'd do a search for science center and biopolis in Singapore as a starting point in looking for jobs.
http://www.a-star.edu.sg/biopolis/9-Biopolis