Since you cannot breed another Regirock, no.
However, if you can breed another Pokemon, the offspring will have an English name.
If you have a Pokemon you can breed and breed it with a Pokemon of another country (like Korean Sylveon with English Glaceon), the offspring has a x6 probability of being shiny!
If you absolutely need a Regirock with an English name, catch it in Ruby/Sapphire/Emerald, Platinum, or Black/White 2 and migrate it to X & Y.
If you caught it in R/S/E, transfer it via Pal Park to a Gen4 game, then transfer it via Poke Transfer to B/W or B2/W2, and then migrate it to X & Y via Poke Bank.
If you caught it in Platinum, transfer it to B/W or B2/W2 via Poke Transfer, then migrate it to X & Y via Poke Bank.
If you caught it in B2/W2, migrate it to X & Y via Poke Bank.
Source: Korean Sylveon on my team and English Eevee in PC Box, and experience.