Yes. There are many suttas in the Tipitaka.
There is a book that has taken parts from the Tipitaka and provides a lot so information. See,
“The Life of the Buddha” by Bhikkhu Nānamoli”
The following essay also provides a good summary:
“A Sketch of the Buddha’s Life – Readings from the Pali Canon”
For each sutta, more than one English translation can be found at Sutta Central, for some suttas. For example, MN 36 is one of the suttas mentioned and here is the link for that:
“The Longer Discourse With Saccaka (MN 36)”
Each sutta mentioned in the summary has only part of his life before giving up life as a “householder.”