Did empires build large warships overseas?

Did other naval powers build very large ships outside their home ports?

Yes. Britain built ships in India, valued teak construction, and Portugal undertook some later construction at Goa, while French efforts were less certain here.

The British constructed ships in India and valued the durability of teak-built hulls. Portugal also developed some construction at Goa after the early period discussed in the battle narrative. How far comparable French plans succeeded is less certain. Overseas warship construction depended on developed yards and industrial capability, not simply possession of a port.