Can a surrogate key and a primary key be in the same table?
A table can and should have as many keys as it needs. Usually when a surrogate key is used it means you will also want some alternative key as well (variously called a domain key, natural key or business key).

The practice of designating any one key as "primary" is of no great significance. It is simply a convention to mark one of the keys as "preferred" or important in some way that has meaning for the database user. Typically the primary key is the one referenced by foreign key constraints in other tables.