No, unfortunately you cannot deduct the monthly space rental fees for your mobile home that is your residence. If you move out and rent it out, you could deduct this as a Rental Property Expense.
You can deduct Mortgage Interest and Property Tax (which may actually be a Vehicle Tax for a mobile home).
What is I rent a room in my mobile home? Can I write off the space rent and utilities?
The state of California has a Non-Refundable Renters Tax Credit. You may be able to claim this credit if you paid rent for at least 1/2 of the year. There is a spot to enter this when you go through the CA resident income tax return interview in TurboTax. You can see how the credit is calculated here. It does not get entered anywhere on your federal return, but you will have the option to claim it on the state return if you otherwise qualify for it.
You can deduct the portion of your expenses that relate to the room you are renting. However, you need to include the rental income as taxable income as well. @Beckynrp
To enter rental income and expenses on your federal tax return, please see Where do I enter my rental income and expenses If you are renting out a room or a portion of your home, you have to divide up your expenses between the portion you are receiving rent income for and the remainder of the property (personal expenses).
Can I write off half the expense since I rent a room but allow my tenant to use the living room and kitchen area and there are two rooms in total?
You can deduct expenses, but you have to claim income as well.
Click this link for more info on reporting rental income and expenses When You Rent Out a Room in Your Home.