Well the Vikings were coming from more than just modern day Sweden. I'm also going to focus on England as opposed to the UK since that is the far more relevant kingdom when talking about the Viking age.
The Norsemen that ended up in England are believed to have been drawn more from Norway and Denmark, indeed the Norse are quite often just referred to as Danes in Anglo-Saxon sources. Throughout the Viking age, England was more tied with Norway and Denmark than it ever was with Sweden. While punitive expeditions out to Scandinavia we're off the table for English Kings, it would have served really no purpose to attack Sweden of all the Scandinavian realms.
Now that is not to say that there was never English involvement in Scandinavia itself. During the reign of Knut/Cnut/Canute/Knud, pick your spelling, King of England and Norway, English troops formed a key part of his army during his invasion of Norway, and presumably also saw action during his limited campaigns into Sweden.
Now there are actually interesting connections between England and Sweden that slightly predate the Viking age. The famous Sutton Hoo ship burial and the Old English poem Beowulf are both traced back to Sweden specifically. The events of Beowulf deal directly with the events of Southern Sweden. The Sutton Hoo burial contains artifacts that have also been traced back to Sweden as the origin point.