No, you cannot. That would be a big breach of all kinds of privacy laws.
What you can do is give the name of the account holder when you transfer the money.
Then the bank should reject it when you put in "John Doe" but the account is registered to "Regina Miller".
But they will never give you the data.
(Just for the record, IBAN accounts ...
You need to keep the Swedish Pensions Agency (Swedish: pensionsmyndigheten) updated on your address. Unlike some others, they do not get it automatically from Skatteverket!
In 2012, the Swedish Pensions Agency issued a press release pointing out they were lacking the address of more than half the people with pension savings living abroad (most of them ...