I need to search if a date, or any day 30 days from that date is between an interval. Is that achievable somehow using postgresql?
You could simply check for interval overlaps:
SELECT daterange(current_date, current_date + 31) && '[2022-01-01,2022-01-31]';
There is also tsrange
for ranges of timestamp
and tstzrange
for ranges of timestamp with time zone
.