It's possible, and should no doubt be allowed, but in fact "can" is used much more often here. From my "bible", Practical English Usage, by Michael Swan, OUP:
"Can is preferred in the sense of "know how to":
Can you knit? (More natural than Are you able to knit?)"
Why isn't "I am able to count and draw" correct? How does "Mogę liczyć i rysować" translate differently? Thank you!
I said 'I know how to count and to draw'. Of course one can cut out the second 'to' but it is still correct spoken English, especially when one speaks slowly, making perhaps a point of emphasis.