Asking for induction before 40 weeks?

I have a question. Has anyone asked to be induced at 37-38 weeks idk if i can make it to my due date. I cant take care of my son (18 months) the way id like. Im in so much pain walking, moving, etc. Everyone tells me to rest n lay down but i cant! Im a stay at home mom of a toddler and he is going through a clingy stage where he cries u til i pick him up but lord how it hurts me to hold him, change his diaper, make him breakfast or lunch, take him a bath or shower is impossible. I lose my temper easily with my hormones because im in so much pain i dont want to be bothered. And he cries when i cant hold him or wont pick him up. Hes going through his terrible 2s and throws tantrums n throws himself on the floor n sometimes takes me down with him. I just want ro be able to be a good mom again. I was just wondering to see if anyone had requested and got accepted for induction early. Im going to ask my dr today at my appointment but just wanted to ask beforehand.

*Also would like to add why im wanting to be induced is also because im already 4cm dilated and having contractions they just aren't close enough apart to go to the hospital or to be in "labor"*