theoretically, yes, assuming the character order isn't predetermined. if it is not predetermined, each character has a 1/36 (2.778%) chance of being the correct one. then the next character has a 1/36 chance. and so on. so the odds of getting every single letter on the first try would be 1 in some trillions or something. i don't feel like counting how many letters spaces and symbols are in act 1 scene 1 of king lear. if it is predetermined, i have no freaking clue what the odds would be.
guh i came back to this game over 2 years later and realized by reading the text below the game that it's really 1/34 and it's 14326 characters long. using a bit of maaaath that's... 1 in a really big number that rounds to a 9 with 21939 zeroes. i wanted to put the whole number but it exceeds the character limit of 20,480 lol