British rule adversely hampered the industrial …

Yes, British rule hampered the industrial sector of India in an adverse manner.
Under the British rule, India could never develop a sound industrial base. On one hand, while the world famous Indian handicrafts sector declined, on the other hand, no modern industries could ever be established to cover the loss.
The British government followed the policy of Systematic Deindustrialisation . This policy had the following two-fold motive
1.  Making India a supplier of raw materials: The British government intended to reduce India to a mere supplier of cheap raw material for its own flourishing industrial base.
2.  Making India a market for finished goods:  Another important objective of the British government was to turn India into a virgin market for the machine made finished products produced by the British industries.
Also, competition from machine-made Britain goods, discriminatory tariff policies, disappearance of princely states etc resulted in a substantial setbacks in Industrial sector of India.