In Computer Vision (CV), the deployment of Convolutional Neural Networks (CNNs) is often hindered by their substantial computational requirements and large labeled datasets. Self-supervised learning (SSL) serves as an effective approach to reducing the reliance on labeled data with the option of augmentation methods to infer and train CNNs. Excluding irrelevant features accelerates learning and improves optimization. We propose a Field-Programmable Gate Array (FPGA)-based hardware accelerator architecture tailored for SSL framework, leveraging its parallelism and reconfigurability to expedite block matching, optimize sparse convolutions, and manage data reuse, significantly improving resource and energy efficiency. The implementation and evaluation of our work on Xilinx ZCU102 FPGA working at 200 MHz confirm that the similarity finding part's FPGA accelerations with a low hardware overhead generates a latency of 0.0106 seconds, surpassing GPU and CPU, and in the sparse CNN's FPGA acceleration part, with the processing of VGG16 and ResNet50, compared with the related FPGA-based works, our design claims a maximum of 3.08× throughput improvement and 1.5× in energy efficiency.