Audiojunky - answer is yes, but the way you are going about searching for a unit, you will be very, very hardpressed.
This is the reason - those 2 bdrm units in the 2-3k region which are decent are snapped up within 2-3 days of being on the market. Most times, the units don't even make it to the websites before they are rented out. Usually at a viewing of such a unit, you will find 4-5 other agents with their clients and more often than not, you will see one of those viewers make an offer, pull out a check book and write a check immediately. The agent even has the letter of intent template ready to fill out and sign on the spot. I've been burnt several times losing out by a matter of hours in bidding for nice
condos in the 2.5-3k range in town.
So my advice if you really want to find a decent place in the 2-3k range? Come to SG, find a good and relatively honest agent (mine was ok cos he never did a hardsell), view units in person and be prepared to undergo what I experienced...