Yes, that is definitely
Weeping Fig (Ficus benjamina) I used to grow a few of those in containers in my screened pool area and on my screened porch. They would grow so tall they's hit the roof and bend over ; I was forever having to chop the tops off and I finally got tired of them and threw them all out. An elderly neighbor took a couple and planted them in their yard but I don't know if they survived or not because we do get freezes in this part of Fla. They are used as landscape trees and pruned hedges in the southern part of the state. They can be pruned and the cuttings stuck in soil will root for additional plants. I'd say you could just do a little trimming of the top or if you prefer or you could reduce the height by cutting it back hard. As long as it gets the proper water and light it will survive pruning.
