There is some truth in that but the reality is a little more complex.
In the past, going as far back as far as the 60's and 70's taxation for high earners here in the UK was so high that even The Beatles found their tax obligations were likely to lead to bankruptcy. George Harrison's song 'Taxman' which stated 'There's one for you, nineteen for me, 'Cause I'm the Taxman' e.g. 95% income tax for high earners was pretty accurate.
That high level of taxation resulted in what became known as the 'brain drain' during which scientists, engineers and other so called middle class professions emigrated to America. I remember this well because my family temporarily relocated to Palos Verdes in California for a while where the buying power of the British Pound was jaw dropping.
Moving on to modern times, the super rich in the UK tend to exploit legal loopholes in offshore financial centers, held by shell companies that exist only on paper so there is not so much need to leave the UK just to avoid taxes.
As far as redistributing wealth is concerned, I think there's a balance to maintain. History hasn't looked very kindly on taxing the rich into oblivion or any other ultra left-wing politics that purports to achieve the same effect.
Personally I believe the key to a fairer society is to ensure that the rich do pay a reasonable amount of tax and that they aren't allowed to exploit legal loopholes. I also very strongly believe that the ultra rich are subject to the same financial laws aimed to prevent money laundering as you and I are. And yes I'm looking at you Mr Putin and friends 😡