It shouldn't be a problem doing it there-and-back once, but doing it every day would be a different matter, especially in the winter!
A very fit mate of mine had a 16.5 mile commute with a couple of long hills adding up to a little more than your one and he used to get pretty tired come Friday. In the summer he could motivate himself to add distance on to his ride home but he struggled to do the commute every day in the winter, riding both ways in the dark and being cut up by impatient drivers. He only used to average 3 days a week on the bike in the winter.
He had a physical job so he was on his feet at least half of every work day which meant his legs didn't get a proper chance to rest. What kind of work do you do? If you sit in front of a computer all day, it might be easier for you.
If you did that commute every working day, you'd be doing over 8,000 miles a year. You'd certainly be pretty damn fit if you kept that up, but I reckon you wouldn't want to be doing many long rides at the weekends...
