Is Article 226 a fundamental right?

Article 226 is not a fundamental right. It is a constitutional right that empowers a high court to issue writs including habeas corpus, mandamus, certiorari, prohibition and quo warranto for the enforcement of the fundamental rights of the citizens and for any other purpose.

Article 32 is a fundamental right which states that the Supreme Court shall have power to issue directions or orders or writs, including writs in the nature of habeas corpus, mandamus, prohibition, quo warranto and certiorari, whichever may be appropriate, for the enforcement of any of the rights conferred by this Part(Part III of the constitution).

Further Reading:

• Fundamental Rights – Articles 12-35
• Right to Constitutional Remedies