Depends on how you define economic freedom. The freedom to chose how your personal economics work out from start to end or to be given the same opportunities as everyone else to include starting measure of wealth?
Let's take another example: is a poor black boy born on the wrong side of the railroad tracks as economically free as a white boy with white-collar parents? Does he have the same equality of opportunity? Can private finance (either via the churches or other charitable bodies) effectively change that on its own? History would suggest not: a cursory glance at the pages of Mr Dickens' or Mr Hardy's novels from 19th century England gives the lie to that.
I'm not saying that the government has or indeed can totally 'cure' the problem (and of course the government also creates its own set of problems) but experience has shown that private charity is a best a
supplement to government, not a
substitute for it. Charitable giving, for example, goes down very significantly in an economic downturn (people who usually give money find they have far less of it to give away), which is of course just at the time when the need for giving increases.
There is a further point here: government spending isn't just about providing money to the worse off at the expense of the better off, it's also (at least in the UK) far more about providing services which are available to all regardless of income or status (education, healthcare, transport/ infrastructure, police, defence, law and justice) without some of which the country would simply cease to function, so they are vital to provide a framework in which business can flourish (why do you think Bill Gates bases Microsoft in Seattle and not, say, Somalia?) and without which also, our poor black boy I started this post with, would be far more disadvantaged (yes, I know that there are many other factors at work here eg: if he has an absent or abusive father about which the government can do very little but churches perhaps can, but if government can address at least one of his disadvantaging factors, then surely it should).
[ETA - sorry, but one final point and I'm done: do I feel less 'free' as a result of the level of government provision in the UK? It's difficult because I can't really compare with the US as I'm not a US citizen* but I certainly don't feel that my civil liberties are threatened. Yes, we perhaps have more red tape to deal with as a business, and that's annoying, but that's more the result of well-meaning and sincere incompetence and ignorance on the part of officials rather than anything sinister or conspiratorialm and I certainly don't experience any of the 'threat levels' which seem to be displayed by American posters so often here in the News and Politics fora.
*Although I have to say that both my wife and I have separately felt pretty threatened by American officials when entering the US; the MO of said officials seemed to be to treat people as guilty until proven innocent, including in my case detaining me for half an hour separated from my children. I can safely say that I've felt far less 'free' there than when entering the UK or any other EU country where, provided you show your passport (or, more often than not these days, not even that), you're waved through. As my wife put it, quoting Catherine of Siena, "if this is how they treat their friends, it's scarcely surprising they have so few of them!"]