Access to a general-purpose FSA (an FSA that can be used for medical, dental and vision expenses) does prevent you from making HSA contributions, but you can have a limited-purpose FSA (LFSA) that can only be used for dental and vision expenses and still be eligible to make HSA contributions. Prop Reg § 1.125-5(m)(3) The cafeteria plan must have language in it that allows an employee to elected a LFSA and also need to have language in it to allow HSA contributions through the cafeteria plan.
If you have a pre-existing HSA and are no longer making HSA contributions, you can either elect an LFSA or a general purpose FSA and then make HSA contribution(s) at a future date when you are (still) HSA-eligible.
As for your situation, if you already have an HSA established prior to when you incurred the medical expense, you can either elect an LFSA and/or a general purpose FSA to pay the first $2,500. At a future date when you are (still) HSA eligible, you can then make HSA contribution(s) and immediately disburse funds from the HSA to reimburse yourself for the remaining $1,500 that you paid for out-of-pocket. Just make sure that your FSA election also beings before you incur the $4,000 expense. Also, you will need to maintain all recepts from the FSA and the HSA in case you need to substantiate the expense related to either benefit.
If you have not established an HSA, you will want to elect an LFSA in order to establish the HSA before you incur the expenses so that you can reimburse yourself at a later day. When an HSA is established is determined by state law, but it is usually when you make your first contribution into the HSA.