Yes it is. But you must be passionate, you must show commitment. It will not be easy, but it is possible.
My daughter swims 2 miles a day, she is 13. She swims all the strokes, back, breast, free and fly (butterfly).
Now, if you don't know these strokes and must learn them all and be proficient in them, it will probably take a little longer than a month. But it can be done if you perservere!
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