Yes, you can change your password yourself regardless of your role. To do this, open Account Settings, go to My Settings, then select the Security tab, where you will find the embedded security panel to change your password.
This same embedded panel also lets you enrol or manage multi-factor authentication (2FA) for your account. Multi-factor authentication is user-specific and is not enforced organization-wide, so enabling or changing your password does not affect 2FA requirements for others.