There are some idioms in which the word 'sticks' refers to the wickets in cricket...'a great player behind the sticks' = a good wicket-keeper...a player with an injured foot might be said to be 'slow between the sticks' etc. But 'up sticks' isn't one of them...at least it isn't according to The Oxford English Dictionary, generally recognised as the 'bible' of the history/development of English words/phrases. It is quite clear on the nautical origin of the phrase.