Hi,
in general you can write flash from FPGA side with your own design. So Xilinx XAPP should be possible also. The question is how you want to transfer the new data to the TE0725 FPGA? TE0725 is a small simple board with less periphery. So you must find a way to transfer the date. Onboard is only JTAG. Or UART, when you connect TE0790 or other UART translator. ETH is not available on TE0725.
br
John