I think it can be considered doable, although I highly recommend some kind of trial run to get an estimate on all the parameters. I used a free day to commute to work and back the first time, just to get a feel for the distance. Infrastructure, your bike, physical condition, weather, what you have to carry, all these (and more) have an effect on how doable it is. As a baseline: I live in a larger city with decent infrastructure, have a fixed gear road bike, am in decent shape, carry a laptop + charger and my commute is 9km. During spring, summer and autumn (usually temps between 10°C (50°F) and 20°C (68°F) while biking) I commute by bike, in the winter I avoid it because of the salt on the road and because I don’t like the cold winds. It usually takes me somewhere between 20 and 35 minutes to make one trip. I hope that helps you estimate your commute a little better.