connecting onchip memory or SDRAM to the HPS using HPS to FPGA bridge

Yes, the HPS can access a memory connect/in the FPGA by accessing it through the HPS-to-FPGA bridge assuming your FPGA design has it hooked up. Make sure that the bridge is clocked, pulled out of reset, and is mapped into the address space (remap bit in the L3 interconnect registers).

Since you said "FPGA to the HPS" for the data movement it might make more sense for the FPGA to push data into the HPS SDRAM directly using the FPGA-to-SDRAM ports instead. You could pin a continuous memory block in the HPS SDRAM and then just tell the FPGA where it lives and let FPGA masters push the data into it (DMA).