Is it possible to transfer information from my Motorola Karma SIM card to my new iPhone 4, if the SIM cards are a different type and size?
You need to get the information into a supported address book on your computer or a cloud service supported by the iPhone, then you can sync it to the phone from there.
Attempting to cut the SIM to fit the iPhone could very well destroy it (and your data).
An Apple store or phone shop may be able to. However, there is not that much data on the SIM.
Retrieving data ...