It can be used in the middle of the sentence, but your sentence feels odd to me. "in the same breath" is usually used when contradictory or disparate things are said or written one after the other. " I wouldn't recommend using it to join arbitrary actions such as talking and walking down the street.
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AnonymousThanks, Mr. Wordy, I get it. Would it then be better to just write 'whilst also' in that case? Or, is there a better way?"whilst also" seems too laboured for such an everyday occurrence -- like there is something notable about talking while walking. You could say "He spoke to her as they walked down the street" (he was the one with something to say)