No, there is no way to do this. An sqlite database is a file on disk, but the filesystem on Heroku is ephemeral and not shared between dynos, so the db would be lost every time you deploy.
But there is no reason to try. Django already abstracts away all the differences between databases for regular usage. Heroku supports a number of Postgres plans for different use cases, including a free hobby tier.
与恶龙缠斗过久,自身亦成为恶龙;凝视深渊过久,深渊将回以凝视…