No. Tradition is a practice handed down through generations.
https://www.merriam-webster.com/dictionary/tradition
1 a: an inherited, established, or customary pattern of thought, action, or behavior (such as a religious practice or a social custom)
b : a belief or story or a body of beliefs or stories relating to the past that are commonly accepted as historical though not verifiable
… the bulk of traditions attributed to the Prophet …—J. L. Esposito
2: the handing down of information, beliefs, and customs by word of mouth or by example from one generation to another without written instruction
3: cultural continuity in social attitudes, customs, and institutions
4: characteristic manner, method, or style in the best liberal tradition
Even preaching another’s message, is not *tradition*. Passing on a message is not *tradition* either.
https://www.merriam-webster.com/dictionary/tradition
There is nothing about "generations" in the first definition you listed.
Even preaching another’s message, is not *tradition*. Passing on a message is not *tradition* either.
Certainly the early practices and teachings of the Church were past down in the form of oral traditions. Almost everything of what was eventually written in the Gospels was first passed on as oral tradition.