Is this correct?

“I keep acquired knowledge.”

If you mean you keep learning, then that's what you should say.

If you must use the word "acquire," then you should say, "I keep acquiring knowledge."

The statement "I keep acquired knowledge" can be considered correct in terms of grammar and syntax. However, the meaning of the statement may vary depending on the context in which it is used. It implies that the person mentioned is able to retain or maintain the knowledge they have gained over time.

Yes, the sentence "I keep acquired knowledge" is grammatically correct. It means that the person mentioned in the sentence continues to retain or hold on to the knowledge they have gained or acquired.