For a two mile commute, assuming mudguards, tarmac and normal shoes, i'd have thought your feet might be drier than if you'd walked.
However - as above, a spare pair in a desk drawer is handy. There again, my work has just requested that people actually wear shoes in the office - so my idea of what's normal might not be aligned with yours
My thoughts entirely.
While a lot of the comments here are useful stuff for longer commutes, the OP is talking about a 2 mile ride - 15 minutes at the absolute outside.
For that I'd take my chances, and wear my 'all day shoes' for the ride. If I were really worried, I'd put a pair of cheap but acceptable slip-ons in my bag if there were black clouds about.
My last job was a 45 minute hilly ride, and for that I kept a pair of shoes, and a full' change of clothes, at work (taken in on Monday, home on Friday)
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