you can try this, but I'm not sure if this is what you need,
with inputs_
as (select 123456 person_id, to_date('2012-01-01', 'YYYY-MM-DD') date_, 'F' check_
from dual
union all
select 213415 person_id, to_date('2012-01-03', 'YYYY-MM-DD'), 'A' check_
from dual
UNION ALL
select 123456 person_id, to_date('2012-01-01', 'YYYY-MM-DD') date_, 'F' check_
from dual
union all
select 213415 person_id, to_date('2012-01-03', 'YYYY-MM-DD'), 'A' check_
from dual
union all
select 123456 person_id, to_date('2012-01-04', 'YYYY-MM-DD') date_, 'F' check_
from dual
union all
select 213415 person_id, to_date('2012-01-05', 'YYYY-MM-DD'), 'A' check_
from dual
union all
select 123456 person_id, to_date('2012-01-02', 'YYYY-MM-DD') date_, 'A' check_
from dual
union all
select 213415 person_id, to_date('2012-01-04', 'YYYY-MM-DD'), 'A' check_
from dual
UNION ALL
select 213415 person_id, to_date('2012-01-02', 'YYYY-MM-DD'), 'F' check_
from dual)
select *
from (select person_id, date_ arrival_date, check_, TO_CHAR(date_, 'DD-MON') date_
from inputs_)
pivot (min(check_) for date_ in ('01-JAN', '02-JAN', '03-JAN', '04-JAN', '05-JAN')
)
order by 2;
Output:

Also this is not dynamic, so if you want dynamic pivot, you can see this link, Dynamic pivot in oracle sql