Yes, where majority conduct violates the Companies Act, company documents or the minority shareholder's legal rights. Majority voting power does not authorize oppressive, discriminatory or bad-faith conduct.
Statutory protection
Section 139 allows a shareholder to seek court relief where company affairs are conducted or threatened in a manner prejudicial to the shareholder's rights or interests.
Possible remedies include orders stopping harmful conduct, requiring corporate action, awarding compensation, requiring share purchases or granting other appropriate relief.