Yes, but you have to beat the Elite Four to battle it a second time.
In SoulSilver, you have to defeat the Kimono girls, and then follow them to the Whirl Islands before battling the Elite Four. In HeartGold, you must first get the silver feather from an old man in Pewter City. Then you can finally go to the Whirl Islands to battle Lugia.
i think you mean shiny lugia. you only get it with a cheat code if you really must know. -RR14
no.
if lugia faints then battle the elite four and he'll reappear
Lugia
I have them
Once you have the Silver Wing and Tidal Bell you can go to Whirl Islands to catch Lugia.
You can get Latias and Kyogre in HG and You can get Latios and Groudon in SS. In HG Ho-Oh is at level 45 and Lugia at level 70. In SS Lugia is at level 45 and Ho-Oh is at level 70.
pro team
Its different because you can get groudon in ss and can get kyogre in hg. (both are lv 50) you can get lugia lv 45 or 47 in ss and ho-oh at lv 70 or 75 in ss. in hg you can get ho-oh lv 45 or 47 and can get lugia at lv 70 or 75.
can't sorry
you cannot catch lugia in the games without an event or cheating i wish they would have a boss battle for him