The phrase "can still not" is correct and usable in written English.
You can use this phrase to indicate that something is still true in spite of earlier changes or attempts to change it. For example: "Despite our attempts to fix the problem, we can still not identify the source of the issue."
However, his picture can still not be published.
P45 Daily Star Cheating celebrity can still not be named, top judge rules.
In an interview, Murat Uka, the suspect's father, said, "I heard what the prosecutor said on television, but I can still not believe it.
Many people can still not even contemplate setting foot anywhere near what they regard as a mass grave or a killing field.
To be sure, that future implies a technological leap of faith in a society in which many people can still not program a VCR.
"Even for Neanderthals, where we have more remains than from any other group, palaeontologists can still not agree on whether they are a species or a subspecies.
For me, the decision to follow America blindly into that war is the one thing New Labour can still not be forgiven.
In China, which (unlike Germany) is still ruled by the same party that committed the crimes being recounted, the truth, Wang Bing suggests, can still not be spoken in public; his film brilliantly, bravely brings that silence to light.
Still, the 14-member commission's rules are unusual; for example, 12 commissioners can vote to proceed with an investigation of the executive branch and yet it can still not be initiated.
And though many objects here are clearly associated with later Chinese traditions — like the delicate figurines of women making pottery (from the seventh to ninth centuries) — others come from cultural worlds that can still not be clearly identified.
E3 A New, Different TV Season The television season finally arrives tonight, tiptoeing in as carefully as it can, still not sure if it is appropriate to try to amuse and entertain a wounded country.
