Is it necessary to store access tokens for a shopify app?

From what I understand the auth flow in a typical Shopify embedded app works like this, we get a session token from Shopify app bridge, pass it to the backend, the backend uses the session token to get access token using token exchange, then we store the access token in a DB to use it later to perform authorized admin API calls. I was wondering if I don’t want to manage a DB for my app, can I skip the DB storage part. Basically, instead of fetching the access token from my DB, can I use token exchange to get a new access token from the session token every time it is required?