No, as an employee, you can't deduct any expenses related to your job since the Tax Cuts and Jobs act of 2017.
I am assuming you are an employee who receives a W-2 form.
If you are self-employed, or a contractor that receives a 1099, you may be able to claim some of your own expenses, but not the expenses for your children to come with you.
Follow this link to learn more about what business expenses you can deduct for travel if you are self-employed.