Absolutely and entirely possible. However, if you have the spare change then a bike that will accept larger tires, fenders, a water bottle and the like would make life more comfortable. Plus, if your track bike is high cost a "beater" makes commuting life much more palatable. It's a little hard to explain exactly how it happens but commuter bikes get beat to crap. You just wake up one day and there are scratches all over it, scuff marks from your lock, you can't remember where that new top tube dent came from (you're afraid to look at the downtube) or how 1/2 a tooth on the chainring got chewed off, you're pretty sure the headset is pitted, bar tape has been 75% replaced by electrical tape but you don't mind, one bar end plug fell out somehow (you seem to remember a bar plug on your regular route in the not too distant past), you're running 2 different tires - one slick and one with tread, it creaks and groans, on and on. It just happens and while it will become your beloved friend it's best if it's a cheap date.