First, the title to your question says "outer join", but your query is an inner join.
Second, the query is malformed, using an archaic syntax.  It should really be:
SELECT cs.service_type_id, mcs.customer_member_id, cs.service_name
FROM CUSTOMER_SERVICE_TYPE cs JOIN
     MEMBER_CUSTOMER_SERVICES mcs
     ON cs.service_type_id = mcs.service_type_id;
Third, the answer to your question is "no".  None of the columns can be NULL if none of the source columns are NULL in your query.  If it were really an OUTER JOIN, then columns could be NULL.
Notes:
- Always use proper, explicit JOINsyntax.  Never use commas in theFROMclause.
- You table aliases should be abbreviations for the column names, rather than meaningless letters.