The easiest way is to check the manufacturer's website for a downloadable manual or contact them by phone. There are also many books and guides available to repair it yourself.
Sure, you can get a manual. Find the manufacturer online and send them an email. They will be able to send you a brand new manual for a minimal charge.
Yes, it is possible to get a sewing machine manual. Ask manuals at the local manufacturer outlet or try to call their hot line numbers on how to get one.