your data
declare @a table(
   object_id  INTEGER  NOT NULL 
  ,post_title VARCHAR(18) NOT NULL
  ,meta_key  VARCHAR(11) NOT NULL
  ,meta_value VARCHAR(4) NOT NULL
);
INSERT INTO @a
(object_id,post_title,meta_key,meta_value) VALUES 
(302,'CHICKEN CHOW MEIN','post_image','url1'),
(302,'CHICKEN CHOW MEIN','price','6.95');
use String_agg for SQL Server 2017 and newer versions
SELECT object_id,
       post_title,
       String_agg(meta_key, ',') meta_key
FROM   @a
GROUP  BY object_id,
          post_title  
for older versions use FOR XML PATH
SELECT object_id,
       post_title,
       Stuff((SELECT ',' + a1.meta_key
              FROM   @a a1
              WHERE  a1.object_id = a2.object_id
              ORDER  BY a1.meta_key DESC
              FOR xml
       path(''), type).value('(./text())[1]', 'varchar(MAX)'), 1, 1, '') meta_key
FROM   @a a2
GROUP  BY a2.object_id,
          a2.post_title;  
In your queries,use Subquery and standard and new form of join form as follows
SELECT object_id,
       post_title,
       String_agg(meta_key, ',') meta_key
FROM   (SELECT wp_term_relationships.object_id,
               wp_posts.post_title,
               wp_postmeta.meta_key,
               wp_postmeta.meta_value
        FROM   wp_postmeta
               JOIN wp_posts
                 ON wp_posts.id = wp_postmeta.post_id
               JOIN wp_term_relationships
                 ON wp_postmeta.post_id = wp_term_relationships.object_id
                    AND wp_term_relationships.term_taxonomy_id = 33) A
GROUP  BY object_id,
          post_title  
or use CTE and standard and new form of join form
with a as
(
SELECT wp_term_relationships.object_id,
            wp_posts.post_title,
            wp_postmeta.meta_key,
            wp_postmeta.meta_value
    FROM   wp_postmeta
            JOIN wp_posts
                ON wp_posts.id = wp_postmeta.post_id
            JOIN wp_term_relationships
                ON wp_postmeta.post_id = wp_term_relationships.object_id
                AND wp_term_relationships.term_taxonomy_id = 33
)
SELECT object_id,
       post_title,
       Stuff((SELECT ',' + a1.meta_key
              FROM   a a1
              WHERE  a1.object_id = a2.object_id
              ORDER  BY a1.meta_key DESC
              FOR xml
       path(''), type).value('(./text())[1]', 'varchar(MAX)'), 1, 1, '') meta_key
FROM   a a2
GROUP  BY a2.object_id,
          a2.post_title;