not really... at least not easily. Green dot type prepaid may potentially be possible (never used one myself), but most other card types won't work since Visa and the other middle men have put stricter security measures on that type of thing that keeps you from doing this type of stuff as you won't have access to all of the security features that you'll need to finalize the transaction... Also, be careful on this if you are not in Sweden since a LOT of cards these days, at least here in the US are 'domestic only' meaning you can't use em for any out-of-country purchases...
Paypal tied to a bank account is probably the easiest option I've found other than actual bank transfers... (can't do those any more since my own bank's gotten a lot stricter on what it does and limits the amount that transactions can be done for as well as limits the transfers to domestic only as well)
If you do go the bank transfer route be sure to get all of the iban numbers, etc. all figured out before you need to do any withdrawals or else you'll get eaten alive on getting peds back out in to dollars (a lot of bank staff here in the US have less knowledge about this type of stuff than you or I do just from reading the posts here)
If you go the paypal route, do transfers from the bank in to the paypal account, which takes a while 2 days - 2 weeks or so for some banks, then do the deposit once the funds are in there... You can try the faster option, but it may not go through...