Absolutely, below is a Python function called create$\_$staircase that attempts to form a staircase out of the numbers in the input list, and returns False if it can$$t$.$

Each iteration of the while loop fills one step of the staircase, with the progress of the staircase tracked within the subsets variable. So the first iteration fills the subsets list with $[1],$ the second iteration adds $[2,3]$ to the subsets list, and so on$.$

At each iteration, the nums list is reduced by removing the elements used for the current step. If at any point the nums list is not empty and the number of remaining elements in the nums list is less than the current step size, then the function returns False since the next step will only be partially filled. If the nums list is emptied without running into this issue, then that means each step was created successfully and therefore a valid staircase was constructed, which is then returned by the function.

def create$\_$staircase$($nums$)$:

while len$($nums$)!=0$:

step $=1$

subsets $=[]$

if len$($nums$)>=$ step:

subsets.append$($nums$[0$:step$])$

nums $=$ nums$[$step:$]$

step $+=1$

else:

return False

return subsets