No, that's totally what you DON'T want to do. You want to keep the signal where the *hardware* wants to be. 0dBVU is still 0dBVU. It never went anywhere or disappeared when digital came up on the block. Getting the "most signal without clipping" is going to add somewhere around *18dB* of gain (and noise, and fuzziness, and loss of focus, and distortion) to the signal before it even gets to the converter (which is ALSO praying for a 0dBVU signal on the input).
Absolutely not - The signal is already digital (and as mentioned, WAY too hot in the first place). By then, you've already clipped the converter.
We've got more headroom now than at any time since audio recording was conceived people... A 24-bit signal that PEAKS at -47dBFS still has higher resolution than a compact disc. HEADroom is GOOD room. Let's use some of it. Recordings sound SOOOOOO much better when we do...
You're probably going to use up all that headroom in the mastering phase anyway - Do yourself a favor and use it up ONCE instead of at every chance you get.