No. You get it after returning the zoo wardens golden teeth.
Go deep into the Safari Zone and find Gold Teeth, then give them to the Warden (The guy with the bad speech) and he will give you the HM4.
You surf out from rout 18 and you will eventualy reach a island.You can find HM4 waterfall there.
thats not a game
Surf (HM4) is found at the final zone in the Safari Zone in Fuschia City
you can find the hmo4 strength at the wardens house in fushia when you give him the golden teeth in your key items that (you find the golden teeth by where you find the hmo3 surf
to get the hm strength (aka hm4) you must go to the lost tower and get to the top floor. there will be two ladies, speak to them, and one will give you the hm4
Buy a GameShark.
Wallmart
HM04 (Strength) can be found in Nimbassa City from a man in the building northwest of the Pokémon Center.
In Nimbasa city I believe it is the 3rd house from the pokecenter when you are at the pokecenter there is a sign right by the house.
Go to fuschia city after getting the gold teeth head to the Pokemon center then go right now there are 2 houses the first one with a sign near it is the wardens home go in there and give the gold teeth to him he will give you HM4.
You get it in Fuschia City from the warden in his house in the bottom right corner of the city, but you have to have the Rainbow Badge first to use it.