No, the latest JetPack version to support Jetson Nano is JetPAck 4.6.3, you can find relevant info from: JetPack SDK 4.6.3 | NVIDIA Developer
Regarding TensorFlow, please check: Official TensorFlow for Jetson Nano! - Jetson & Embedded Systems / Jetson Nano - NVIDIA Developer Forums
Regarding PyTorch, please check: PyTorch for Jetson - Jetson & Embedded Systems / Jetson Nano - NVIDIA Developer Forums