No, because the seconds are rarely important.
>How do you write the year? Do you put decade before century?
No, because that's not how numbers work.
>How do you write numbers? Do you put the ones place before the tens?
Same answer.
>Toddmorey asked why units don’t go from small to large and I explained that it is inconsistent with how we write numbers.
Dates aren't numbers. There is a lot more context and meaning around dates that we need to consider when we verbalise and write them. But, for the purposes of e.g. data storage then absolutely - we can consider them no different from numbers. You have to understand that isn't the case with conversational English, though.