In some places. Not in Poland, as long as you're not competing with your employer. Also clauses like "we own the work you do in your personal time" have no legal implications here, because they directly contradict the labor law.

Generally you're free to do whatever you wish with your free time outside working hours and the employment contract has no power over it.

In some places, it might exceed the allowed working hours, that would be illegal.

A lot depends on the local labor law. Here where I live (Poland and I guess same in the rest of EU), the outputs of your work which were not directly ordered by your employer or were not part of the job are not owned by the employer (and stating that in the agreement is not enforceable), even if done during working hours or done using employer's equipment. Of course you can get fired for doing a side project in the office or using the equipment without prior agreement, but you take your side-work with you.