No the ZR1 is a small block. The Z06 has a Big Block. The LS7 is a 7.0L 427 which can be upsized in bore to a 454. The ZR1 as I said before has a 5.7L which can only safely bored and stroked to 400cid which is a 6.6L and that is pushing your luck with the block's integrity.
Correction: Not a 5.7L it does infact have the 6.2L but it still has a small block whereas the 7.0 is a big block.