Is it possible to keep the player offset in place on the screen independent of resolution?

Okay, so I have a camera I've been building for a 2D sidescrolling game. The player needs to stay slightly off to the left - like an original Gradius game:

The camera moves freely from the player, and needs to stay that way. At the moment, I just can't get the offset working right - I keep trying the various screen conversions but I'm not sure what will work - here is my code:

 using UnityEngine;
 using System.Collections;
 
 public class CameraController : MonoBehaviour {
 
     public Transform TrackTarget;
     public float dampTime = 0.15f;
     public float OffsetFloat = 0.05f;
     public bool Ready = false;
     private Vector3 velocity = Vector3.zero;
     private Vector3 TargetOffset = Vector3.zero;
 
     
     void Start()
     {
         TargetOffset = (camera.WorldToViewportPoint(TrackTarget.position * OffsetFloat));
 
         Vector3 point = TrackTarget.position + TargetOffset;
         Vector3 Destination = new Vector3(point.x, point.y, transform.position.z);                
         transform.position = Destination; 
     }
     
     void FixedUpdate () {
         TargetOffset = (camera.WorldToViewportPoint(TrackTarget.position * OffsetFloat));
         
         if (Ready) {
             if (TrackTarget)
             {
                 Vector3 point = TrackTarget.position + TargetOffset;
                 Vector3 Destination = new Vector3(point.x, point.y, transform.position.z);                
                 transform.position = Vector3.SmoothDamp(transform.position, Destination, ref velocity, dampTime);
             }
         }
     }
     
     void LateUpdate()
     {
         if (Ready) {
             Vector3 CameraPosition = transform.position;
             CameraPosition.z = -10.00f;
             transform.position = CameraPosition;
         }
     }
 }