Bwahaha, no it doesn’t.
Legally ‘corruption’ doesn’t exist, as in there is no single law saying ‘corruption is illegal’. (What is ‘corruption’ exactly?)
There are laws against bribery, which does generally only apply to the government, but in many locations applies to pseudo-government roles like notaries, apostiloes, lawyers, etc.
There are laws against embezzlement (a type of corruption), and those definitely apply to private individuals.
There are laws against insider trading, a type of corruption. Those generally only apply to businesses/private folks, not the government, with some exceptions.
Then there is the various kinds of fraud, blackmail, etc. Most people would consider them corruption too. Those apply to private individuals and government agents too.
And many more. It’s a smorgasbord.
Brazillian law, for instance, defines the crimes of passive and active corruption:
But, granted, revieweing US and UK law, it seems they don't define "corruption" as a crime (albeit some of the act names do mention corruption). So let's fallback onto the dictionary: [2] Both definition a and c are too ample and, as you put it, "a smorgasbord". Definition b, specially when combined with a, describes something pretty specific: inducement of a powerful agent to wrong by improper or unlawful means, such as bribes.Embezzlement is better typified under theft. Same goes for most of the others: fraud is fraud, blackmail is blackmail. They may acquire a "corrupt" character when they are done in direct exchange of personal material gains. There are discussions about whether insider trading should be illegal.
Generally speaking, corruption is primarily a crime against public administration because it involves the government, which (supposedly) represents the people. Private companies represent themselves, so they get to (more) trivially decide who is on the line or not.
[0] https://en.wikipedia.org/wiki/Passive_corruption
[1] https://en.wikipedia.org/wiki/Active_corruption
[2] https://www.merriam-webster.com/dictionary/corruption
That is literally just a translation difference for bribery, a common issue for Brazilian Portuguese vs English.
[https://www.jusbrasil.com.br/topicos/10598684/artigo-317-do-...].
[https://www.britannica.com/topic/bribery]
I'm not fond of Brittanica's definition of corruption [https://www.britannica.com/topic/bribery].
It might as well describe any crime, similar to definition c from earlier. Even still, Britannica memtions gifts, which points to corruption being primarily connected to bribery: I suppose I agree with the lack of formal definition for corruption, but defining "corruption" as simply "evil" makes the word ontologically empty, but adding a corrupting element to it (bribe), makes it more defined.