Both Grand Theft Auto 1 and 2 have been listed on the EsRB’s official website.
The listing shows that Grand Theft Auto and Grand Theft Auto 2 have been rated as “Mature” and “Teen” respectively. It shows the available platforms are the PS3, PS Vita and even the PSP. This might suggest the games might be available on the PSN as PSOne classic titles.
Most GTA titles are now available to download on the PSN. The only ones that have been missing is the original two titles. Both Sony and Rockstar have yet to make an official announcement, although hopefully they reveal something very soon.