If a person has a 10 year ban on student visa entry and 10 years hasn't passed yet, is there any chance to reapply with another visa category? I was banned for 10 years in 2010.
An entry ban means you are banned for 10 years, no matter what name, passport, or visa you attempt to use.
If you received a ban in 2010, then you only have a year or so to wait until the ban expires. Then you may apply for a visa, but there is no guarantee it will be approved.
In addition to Gregs answer, the only way to circumvent a ban for the UK is to either:
challenge it on human rights grounds - this is massively expensive and nowhere near guaranteed to get you anywhere, even if you have a strong case.
Become an EU citizen and leverage the freedom of movement, as this supersedes any bans in place - note, this is only guaranteed to be viable for the next week or so, so move quickly...