For example, simply post a thread here and offer to give anyone who posts a message an initial share of the coins. There are many other ways to do it, all as equally useless. What is not earned is not appreciated.
If you mean, can you have a consensus algorithm based on how many coins each person has without anyone initially having coins.... well that's obviously a no. This is why you need that proof-of-work period at the beginning.
There are coins that are 100% premine usually they are those offered on various exchange like Yobit but people do not trust 100% premine some of the project that has 100% premine are mlm based coin,there are projexts that succeed and some do not..