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Are there any sins that are not forgiven by God?

The basic teaching of Hinduism and the scriptures of it is to not to feel guilt of past mistakes, and even the sinful of sinners can cross over the Ocean of Samasra and come out of past sins through spiritual knowledge.

Bhagavad Gita 4.36 Even if you are considered to be the most sinful of all sinners, when you are situated in the boat of transcendental knowledge, you will be able to cross over the ocean of miseries.

When one is situated on the boat of spiritual Gyana, Isvara Gyana, the spiritual knowledge burns all your Karmas into Ashes.

Bhagavad Gita 4.37: Just as heat of fire reduces wood to Ashes, the fire of self knowledge burns to ashes all Karma

This was the statement given by Krishna paramatma in Bhagavad Gita. From this we can understand, only way to come out of all Karmas is Spiritual knowledge !

Actually, there is one sin that is never forgiven directly by God. An offence against a Bhagavata is unforgiveable except by the Bhagavata himself.

The episode of Maharaja Ambarīṣa and Sage Durvāsā is best example in this regard. When Durvasa offended Ambarisha (a great devotee of Krishna who was accorded protection by Sudarshana chakra), by cursing him for breaking a fast without Durvasa's permission. His curse and actions cause Sudarshana chakra to chase Durvasa to all corners and no deva or even Lord Vishnu would protect him. Then based on advice from Vishnu, Duravasa sought forgiveness at the feet of Ambarisha. Only then Sudarshana chakra stopped chasing the sage.

You can read the entire story in Srimad Bhagavatam.

https://vedabase.io/en/library/sb/9/4/
https://vedabase.io/en/library/sb/9/5/

So, Bhagavata apachaara is a great sin that the Lord will never forgive.

As per PADMA PURANA: PATALAKHANDA: Chapter 8

Sri Rama said :

24-26. Sin is said to be of two kinds, viz. deliberate and nondeliberate. Deliberate is that which is done with an intention. The non-deliberate is that committed unintentionally. The deliberate sin is exhausted only after experiencing (the fruit of that sinful) deed. The other one would perish through remorse (प्रायश्चित). This is declared by the scriptural injunctions.

Many atonements (प्रायश्चित) are declared in scriptures for variois nondeliberate sins. Many prayaschitta are discussed here.