Absolutely, however the right to silence is not universal. There are circumstances in some jurisdictions where you can be compelled to say things. In such cases the things you say cannot be used in evidence against you (right against self-incrimination) but they can still lead to evidence that can be used.
Even the US has a bit of this, for example you can be compelled to give over a password. To draw an example, if you were investigated for robbery and had the password “IRobPeople”, then the password couldn’t be used in evidence against you but any evidence they find when using the password could.