Yes you do.
Lugia in Pokemon Soul Silver is caught before Ho-oh, but isn't caught at the begging of the game.
The Silver Wing in Pokemon Silver lets you interact with Lugia in the Whirl Islands to fight and catch it. Lugia can be found in the deepest part of the Whirl Islands.
ho-oh and lugia
whirl islands
You can't unless you have silver,soul silver or action replay [with silver and soul silver you must capture lugia then for soul silver trade and for silver, I'm not 100% sure but you migrate lugia to platinum and catch it at pal park.
You have to get the Silver Wing in pokemon silver, it's part of normal gameplay. If you don't want it, just stay in the place of the game you are and don't get it! If you don't want Lugia, don't get Lugia. It's as simple as that.
go catch lugia.
go to whirl islands
You can beat the tidal girls at the Ecruteak dance theatre. Then you can go and catch Lugia.
it is a item that you obtain in pokemon soul silver that you use to catch lugia the legendary bird in the whirl islands.
you need a silver wing
You can catch Mewtwo, Suicune, Entei, Raiku, Ho-Oh, and Lugia.