For instance, over email I often write something along the lines of the following:
I'll arrive at 221B Baker Street at 11:45 PM.
Is this grammatically correct? Can any improvements be made from a stylistic standpoint?
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As the other answer says, it's grammatically sound. It's hard not to repeat "at"s here, but if you wanted to you could say something like:
"I'll reach 221B Baker Street at 11:45 AM."
"I'll make it to 221B Baker Street at 11:45 AM."
"I'll be at 221B Baker Street by 11:45 AM."
But none of those are necessarily improvements. Stylistically, I think yours is fine.