If the British rule in India commits itself energically to teach English to Indians extensively for a sustained period, it would come close. But in itself, it would be a very major change that would require explanation, since it was totally against everything the British were ever up to in India (or in any other colony of theirs for that matter). Not to mention the costs.
I think you would need a massive amount of immigration to India and British-Indian intermarriage to make something like this possible. Like a Spanish America analogue. Except that India has such a large population I'm not sure that flipping the majority of the populace to native English speaking would even be possible. More likely you'd end up with a large English-speaking minority.
However, the above scenario would not be compatible with colonizing the rest of the British Empire's OTL territory, because Britain does not have an unlimited amount of settlers.
I don't think what the OP is proposing is possible. At absolute max, the British Empire could have replaced Spain as the colonizer of most of Central and South America, possibly in addition to parts of North America, as well as Australia and various small islands, and maybe make some inroads in India by aggressively intermarrying with the locals there, and the same in South Africa or another African colony. That's it. The rest of the world cannot possibly start speaking English as their first language in any realistic scenario.
In a more outlandish scenario, you could have some sort of British Empire analogue where all native English speakers universally have two traits: 1. Having zero qualms about intermarrying other peoples wherever they find them, and 2. Be constantly trying to subjugate their neighbors. This would be way, way out there. Even Rome, in 500 years, only managed to flip half of Europe to speaking dialects of its language, a mighty feat to be sure, but a far cry from
most of the world.
.