Not really. A lot of Russian citizens left or where made to leave when Estonia got it’s independence back but outside of that I don’t think there has been a major population shift.
https://www.macrotrends.net/countries/EST/estonia/population
You can see here that it’s been in decline consistently for the past 20 years.
According to the Estonian census it dropped between 1990 - 2015 (period after we got our independence back) and has been on an uptick since then. Though the massive drop right after 1990 is when soviet citizens left.
No idea why that graph is predicting that the population will halve in 80 years, seems a little ridiculous considering Estonian birth rate is fine and the population has been increasing for like 8 years.