To the OP:
What you have described would be called "normal operation."
Heat pumps are not designed to be quiet. They are designed to meet their task while remaining reasonably priced and efficient.
If the unit is directly adjacent to an occupied space, and you wish to reduce the level of normal sounds you are hearing, there is acoustical grade drywall you can add to the inside of the wall closest to the unit, and you can ask your tech to make certain the lineset is not in direct contact with the structure at the point of entry.
A reminder to all posters in this thread:
ONLY pro members with an * can offer advice in the AOP forums. Regular members responding to an OP often are found giving some form of advice in their posts, and the point of the forum is for the HO to "ask our pros," not "ask anyone."
Regular members who are qualified should apply for pro membership and ask for their * so they can take part in the forum while remaining within the guidelines.
All the needed info is in the links at the end of this post.