Any movement for Sweden to join NATO is significant. After all, they remained neutral during WWII and remained so during the Cold War.
Regarding Swedish NATO membership: No, that's off the table. The last poll, taken after the start of the Crimean crisis, showed a declining support for a Swedish membership (≈30%). No politician is going to start negotiations with NATO without a previous concensus in our Parliament or a popular referendum - which will result in a no.