First row of results should never be displayed

You can use a WHERE condition with a sub-query

SELECT l.time_stamp, 
       SUM(quantity) AS quantity
FROM logistics l
WHERE time_stamp > (select min(time_stamp) from logistics)
GROUP BY 1
ORDER BY 1;

You can use LIMIT OFFSET clause, for example:

SELECT
l.time_stamp AS time_stamp, 
SUM(quantity) AS quantity
FROM logistics l
GROUP BY 1
ORDER BY 1
LIMIT all OFFSET 1
;

Since this is Postgresql, you can use the OFFSET clause.

https://www.postgresql.org/docs/current/queries-limit.html

SELECT
l.time_stamp AS time_stamp, 
SUM(quantity) AS quantity
FROM logistics l
GROUP BY 1
ORDER BY 1
OFFSET 1;