Does Guangzhou subway ticketing/ fare system has any option of weekly or daily ticket?

It only has One-day Travel Pass and Three-day Travel Pass nowadays.
One-day Travel Pass: The pass is sold CNY20 and could be purchased at any ticket booths set at these subway stations. With this pass, passenger could take all the city's subway lines without limit in 24 hours after the first use.

Three-day Travel Pass: The pass is sold CNY50 and could be purchased at any ticket booths set at these subway stations. With this pass, passenger could take all the subway lines without limit in 72 hours after the first use.

Hope helpful!