Oracle: Is there a way to put exception handling into a function and just reference that function inside procedures?

If you were going to write 10 procedures that all have the same exceptions, you'd want to just reference the procedures defined somewhere else, right? You can call a function inside a procedure

create or replace procedure P
    a_variable_name number;
begin
    a_variable := a_function('a parameter');
end;
/

And i imagine you'd have to pass the result of your procedure into the function. Like

if X procedure executed correctly, then do nothing
if Y error, do the Y exception handling

Is such a thing possible? If not, how do oracle users handle writing 10 different procedures that all use the same exception handling? Like, are there any tips and tricks besides just copying and pasting those exceptions and hoping you'll never have to change all 10 of them if you have to change one thing?