Can I write off the same expense for two difference 1099 form jobs?

You would allocate(split it) based on the usage for each business.  If you also use it for personal use, you should only allocate amount used for business.

Makes sense. And now a follow up question would that also apply for the home office deduction?

Yes the same instruction would also apply for the home office deduction.  

Just a reminder...you cannot take the home office deduction for the work you do as a "W-2 paid employee".  Due to tax changes you are no longer able to deduct expenses as a W-2 employee.