As a child will bear this interpretation; but it has other senses. For instance:
As a child, I was not allowed into the bar. ... Here, as a child probably means not when I was a child but because I was a child.
As a child, she supported the laws against internet bullying; as a citizen, she regretted the possible infringement on free speech. ... Here, as a child means in her role as a child (and therefore a potential victim of internet bullying), as opposed to in her role as a citizen (and therefore a potential victim of oppression).
As a child do I follow the precepts of my Master. ... Here, as a child probably means in the manner of a child
So you have to be more careful when using as X in a temporal sense, lest one of these other senses interfere with your readers' understanding. On the other hand, the context will usually make your sense clear, so you don't have to be too careful.