It’s totally possible, the query method depend on the users field type.
I assume your field type return user by ID. You have to query your score CPT with wp_query and metaqueries.
If it’s a single post object field allowing only one user : use the wp_query with you field name as key and an equal criteria with the needed user ID.
If it’s a single post object field allowing multiple user : use the wp_query with you field name as key and and In criteria with the needed user ID.
If you have your user field in a repeater : I recomand you to follow the John Huebner method
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