Chongqing hukou, currently working in Shenzhen, can I apply for a tourist visa abroad in Guangzhou?

Some countries have consulates in Chengdu.

In this case, Chongqing should be the consulate of Chengdu.

If the visa country you are going to has no consulate in Chengdu,

Generally speaking, it should belong to the consulate of Guangzhou.

Just ask the travel agency in Shenzhen.

If they accept your application and can give you a visa, then there will be no problem.