SQL to fetch the count between tow date range
Sample data you (initially) posted is pretty much useless, there's no time component involved.
In one of my tables, there's a datum column and values look like this:
SQL> SELECT id, TO_CHAR (datum, 'hh24:mi') hrs FROM obr WHERE rownum <= 10;

        ID HRS
---------- -----
     21547 08:41
     21541 08:17
     21563 09:03
     21614 10:46
     21618 11:01
     21620 11:04
     21622 11:05
     21626 11:10
     21629 11:14
     21642 13:35

10 rows selected.

SQL>

This is query which

in fmin CTE creates 24 rows (00:15, 01:15, ... 23:15)
join is done on datum "rounded" to previous 15-minute value (whether in the same hour, or in previous hour - depends on minutes)

So:
SQL> WITH
  2     fmin
  3     AS
  4        (    SELECT TRUNC (SYSDATE) + (LEVEL - 1) / 24 + INTERVAL '15' MINUTE c_time
  5               FROM DUAL
  6         CONNECT BY LEVEL <= 24)
  7    SELECT TO_CHAR (f.c_time, 'hh24:mi') c_time, COUNT (z.id) cnt
  8      FROM fmin f
  9           LEFT JOIN obr z
 10              ON TO_CHAR (f.c_time, 'hh24:mi') =
 11                 TO_CHAR (
 12                      TRUNC (datum, 'hh24')
 13                    + CASE
 14                         WHEN TO_NUMBER (TO_CHAR (datum, 'mi')) >= 15
 15                         THEN
 16                            INTERVAL '15' MINUTE
 17                         WHEN TO_NUMBER (TO_CHAR (datum, 'mi')) < 15
 18                         THEN
 19                            INTERVAL '-45' MINUTE
 20                      END,
 21                    'hh24:mi')
 22  GROUP BY TO_CHAR (f.c_time, 'hh24:mi')
 23  ORDER BY 1;

Result:
C_TIM        CNT
----- ----------
00:15          0
01:15          0
02:15          0
03:15          0
04:15          0
05:15          0
06:15          0
07:15          2
08:15         10
09:15          1
10:15         14
11:15          6
12:15         10
13:15         38
14:15          5
15:15          0
16:15          0
17:15          0
18:15          0
19:15          0
20:15          0
21:15          0
22:15          0
23:15          0

24 rows selected.

SQL>


I require to fetch the count of PRODUCT_ID between 00:15:00 and 01:15:00 and subsequentially for any date range.
Example Scripts:-
My DB structure and data is as follows.
CREATE TABLE time1 (cr_date date , product_id number );

insert into time1 values (to_date ('01-JAN-2022 01:00:00', 'DD_MON-YYYY HH:MI:SS') , 12345);
insert into time1 values (to_date ('01-JAN-2022 01:00:00', 'DD_MON-YYYY HH:MI:SS') , 12346);
insert into time1 values (to_date ('01-JAN-2022 01:00:00', 'DD_MON-YYYY HH:MI:SS') , 12347);
insert into time1 values (to_date ('01-JAN-2022 03:30:00', 'DD_MON-YYYY HH:MI:SS') , 42345);
insert into time1 values (to_date ('01-JAN-2022 03:30:00', 'DD_MON-YYYY HH:MI:SS') , 42346);
insert into time1 values (to_date ('01-JAN-2022 03:35:00', 'DD_MON-YYYY HH:MI:SS') , 42347);
insert into time1 values (to_date ('01-JAN-2022 03:40:00', 'DD_MON-YYYY HH:MI:SS') , 42348);
insert into time1 values (to_date ('01-JAN-2022 10:40:00', 'DD_MON-YYYY HH:MI:SS') , 10348);
insert into time1 values (to_date ('01-JAN-2022 10:42:00', 'DD_MON-YYYY HH:MI:SS') , 10349);
insert into time1 values (to_date ('01-JAN-2022 10:43:00', 'DD_MON-YYYY HH:MI:SS') , 11348);

COMMIT;

Output is required to be as below:-
| hours   | count |
|:------  |:------|
|00:15:00 |3|
|01:15:00 |0|
|02:15:00 |0|
|03:15:00 |0|
|04:15:00 |4|
|05:15:00 |0|
|06:15:00 |0|
|07:15:00 |0|
|08:15:00 |0|
|09:15:00 |0|
|10:15:00 |0|
|11:15:00 |3|
|..
|...
|23:15:00 |0|

