I'd assume people had some some indirect evidence before. I remember some noise about exoplanets during my teenage years - there was a Polish astronomer[0] involved in the first discovery. But I thought to myself, surely everyone expected this to happen? I was later surprised to discover that even in the 90s, people seriously believed there were no extrasolar planets.

(Perhaps theirs was the more scientific position, and I was just a nerd biased by science fiction stories. But then, I was taught the Sun was just another star, and if God wanted our solar system to be special, surely He wouldn't need to create more planets than just the Earth? I guess I had some intuition for Occam's razor before I knew it by name...)

I only got a more complete picture of the timeline of discoveries much later in life, from this video[1].

(EDIT: it seems that the first discovery was in 1992, when I was single-digit years old, so the noise I remember about Wolszczan must have been about the other discovery in 2007.)

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[0] - https://en.wikipedia.org/wiki/Aleksander_Wolszczan

[1] - https://www.youtube.com/watch?v=gai8dMA19Sw