Yes, Captain America and Wolverine fight alongside each other briefly during WW2. ButHowever Wolverine gets transfered to another unit before he can complete more than three missons with Captain America.
I know there are some good comics explaining this but it takes a while to find them and then finally understand them. The comics showing them fighting together are a back issuesissue though, about WW2.
The comic actually has Stan Lee and a the father of Nick Fury in them. Stan Lee and Conlel Fury Fightfight with Captain America, Bucky, and Wolverine. Conlel Fury ends up loosinglosing his eye and Stan Lee dies. Wolverine tries to save Stan Lee but fails. He takes it out on Bucky and requests a transfer to a new unit. Wolverine followsspends the rest of the Warwar out in his new unit, eventually becoming a higher rank than Cap. Bucky supposedly dies, and Cap gets frozen after deactivating a nuclear bomb sent off by the The Red Skulls scientists and followers. Wolverine
Wolverine is actually part of the assult team on the castle Bucky and Cap are attacking Butbut Wolverine doesn't follow Cap to the bomb he send. He instead follows Bucky under Caps ordersCap's and General Fury's orders. Wolverine sees Bucky follow another misslemissile but he doesn't deactivate it until sometime over Russia. Rssians FindRussians find Bucky arase, erase his memory, implant new memories of him as a Russian and he becomes the Winter Soldier. His main goal is to destroy America and anybody else who gets in hshis way.
Wolverine goes ontoon to the Warwar in Japan after the assult on the castle. WW2 follows on out in Germany while Wolverine gets drafted into Japan. There he meets his one true love and marries her. After while she dies of cancer and he moves on to the war in Viet Nahm. He gets arrested and a year later he gets adamantumadamantium put on his bones.
I hope that helped.