I don't know about Finnish law, but in most US states, when you form an entity, you can put most anything as a purpose. It is quite common to put it as "to engage in any lawful activity".

Beyond that, publicly traded company directors may have (depending on the state) various duties to shareholders to consider profit, but it is generally not considered to be so extreme as to profit above all else.

IRS regulations distinguish between a trade or business and a hobby by looking at the intent to make a profit (as well as the effort). see https://uslawexplained.com/trade_or_business

But it is generally possible to form a legal business under state laws with no intent to profit, the IRS may just treat it as a hobby for tax purposes. (You can't deduct expenses incurred pursuing a hobby, but you can deduct expenses incurred carrying on a trade or business).