Dropdown Data Validation List

I have a query with data validation.....

Can I have a cell rage.. say A2:E20...and every cell in it has a drop down data validation list, from data inputted into L2:L27 (For examples lets say L2 is A, L3 is B, L4 is C, L5 is D and so on).

if somewhere in the range A2:E20, say B6 I was to select D from the drop down list, I want the remainder of the cells in range A2:E20, to have the drop down list without the value D in it, and so on, so the more cells in the range I fill from the list, the list for empty cells gets smaller and smaller until there are none left.