Can I still download games to my PSP?

I'm curious, with the rise of newer gaming platforms and consoles, is it still possible to download games onto a PSP? I've had mine for a while and have enjoyed the games I've played on it, but I'm wondering if the platform still supports new downloads. I understand that the PSP may not be as popular as it once was, but I'm hoping there's still a way to keep my device up-to-date with the latest games. Is there a specific process I need to follow, or are there certain limitations I should be aware of?