Absolutely. The owner of company stocks is permitted to transfer ownership to somebody else without incurring any penalties. The process is fairly straightforward. Online brokers usually provide an option to make a transfer on their platforms. All you need to do is give your written consent and basically fill out some forms. Physical share certificates, too, can change hands. To complete this type of transaction, you'll need to get in touch with the company's transfer agent, whose contact information should be visible in the investor relations section of the company's website.