No, because you don't have
your 485 case yet, which legal document is the 485 receipt notice from INS. Just image you send your 485 to somewhere, can you claim you have a 458 case with INS. INS calls illegal aliens as undocumented aliens because they do not have their records. So before your 485 application is documented by INS (it is a receipt notice for your side), you should have something else say H1 to support your status.