I want to name my patented invention after me, can I?

You can't.

According to the law, the name of a patent application should briefly and accurately indicate the subject and type of the invention patent application. The name of the invention shall not contain non-technical words such as person, unit name, trademark, code name and model number.

Therefore, the name of a patent application shall not be named after a person.

In fact, when your patent application is made public, your name will be reflected in the inventor column, and everyone will still know that you invented this patent.