The private keys have to be the ones that are deterministic so I'd guess no.
Well, if you know all my public addresses, and they're all deterministiclly generated, I would think it would make it easier for a "bad guy" to guess my "seed" that generated these, and therefore get my private key...
I don't know enough about it to say no, but since the private key can't be practically determined by the public key, I'd guess that it wouldn't help.