It would be pointless. I used to dodge promos because they were so rigged I didn't want to risk repeating them. They rig them more if you have low mmr too. So for example if you somehow climb your way up to plat 4 promos but your mmr is like gold 4 (difficult to do but just using for example) your promos will be a stomp. You could be a pro player and probably lose that game. Before people freak out, yes pro's lose games too even while climbing, like 30% - 40% of games so don't start wigging out because you think they win everything. So anyway I used to dodge promos. All of them. When you dodge promos you keep your mmr (unless they changed something in the last couple of years) and just lose a few lp and don't get promoted. So I would get my mmr to where it's way above, and THEN when I did promos, I would skip a division.
This is actually pretty brilliant because anyone who both understands programming / algorithms and plays a lot of league knows that most games are a bit one sided, and I will tell you right now i'm 100% sure promo games have a higher probability to put you on the bad side. Some people will try to argue with this but the things I have seen in promo games...I know it for fact. Also I got an ezreal for every promo game on this account, and like maybe 1 or 2 ezreals in non promos and that's in over 100 games. IDK why this is...I haven't seen the algorithm with my own eyes but I can tell you right now promos are more likely to be hard, than to be easy, when compared to non-promo games.
TLDR / conclusion: So basically if you want to deal with promos less, try dodging them a couple rounds. Then skip a division or get free wins toward next promos (which means less promo games). You really don't lose anything because mmr stays where it was and LP means nothing over the span of many n games.
I know while typing this that the smart people will see the genius in this, and non-programmers who don't understand how all this works are going to lose their minds and try to argue.