No, not on your federal tax return. In order to deduct property taxes, you must be the owner of the property against whom the taxes are assessed. If you are a condominium owner, you can deduct the property taxes that you pay for your own property plus your portion of the shared property, assuming that you get a statement from the condominium association specifying what your taxes are. But if you are a tenant, you can’t deduct property taxes even though part of your rent is used by the landlord to pay their taxes.
Your state may have a tax benefit that applies to your situation. For example, New York state has a Real Property Tax Credit that returns a portion of property taxes to low income taxpayers. Renters are allowed to qualify for this credit with the assumption that 25% of their rental payment is applied toward taxes. But this is not an itemized deduction for property taxes, rather a special credit available for some low income tax payers. If your state has a renters credit or a homestead credit or something similar, you may qualify. You would have to review the tax laws of your state.