First if mysqldump have engine=InnoDB
statement in CREATE TABLE block, Then it could possible to import failure if Local MySQL is not configured to use InnoDB (I personally think InnoDB is always available, However it could be non default engine).
After successful import, It may be automatically converted to default MyISAM Engine. So All foreign keys and InnoDB related objects will not imported in this case. Now if your application very much depend on DB based Foreign keys mechanism, Then it can broke. Otherwise things should work like before.
Personally I imported InnoDB databases before end they automatically converted to MyISAM. Application work seemlessly as That manage constraints on Application side (in MVC Models).