No you can't purchase a Suica or Pasmo with a credit card. There used to be a workaround with the Suica&NEX package, but that is no longer available.

You can buy a Suica card at the vending machines with cash. Remember there is a 500 yen deposit to get the card. When you buy at the vending machines, you also have an option to "register" your card, which will record your name, birthday etc, in case you lose the card you can get a replacement card minus a service charge of issuing a new card. If you had an unregistered card and lost it, then you're out of luck.