It's technically possible, but the expression "you can't make a silk purse out of ..." comes to mind. Given what you'll end up spending making all the changes, you need to think very carefully about whether the frame warrants it.
There's a tremendous difference in the cost of parts vs the cost of the same parts on a bike. At some point, replacing the wheels, bottom bracket, cranks, derailleurs and shift levers, you'll have spent enough to buy a bike with a better frame than yours, plus get new brakes, saddle, tires and handlebars for free.
Think long and hard, shop the various parts, and determine a budget. Then compare to see what those same dollars could buy in bikes. Even if you can't match everything part for part, figure the rest of the new stuff warrants a difference of at least 15%. I'd be surprised if you went ahead with this near total makeover.
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