yeah, it's doable, but you won't be doing much else. (other than work and sleep). I would rather have time to do other stuff. if possible, I would drive partway and then bike in.
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"Think of bicycles as rideable art that can just about save the world". ~Grant Petersen
Cyclists fare best when they recognize that there are times when acting vehicularly is not the best practice, and are flexible enough to do what is necessary as the situation warrants.--Me