Currently, I believe that you can only query down to the minute. Per Advanced Searching:
Created Search for issues that were created on, before or after a particular date (or date range). Note that if a time-component is not specified, midnight 00:00 will be assumed. Please note that the search results will be relative to your configured time zone (which is by default the JIRA server's time zone). Use one of the following formats:"yyyy/MM/dd HH:mm" "yyyy-MM-dd HH:mm" "yyyy/MM/dd" "yyyy-MM-dd" Or use "w" (weeks), "d" (days), "h" (hours) or "m" (minutes) to specify a date relative to the current time. The default is"m" (minutes). Be sure to use quote-marks ("); if you omit the quote-marks, the number you supply will be interpreted as milliseconds after epoch (1970-1-1). Note: this field does not support auto-complete. Syntax: created or createdDate
It looks like there was also a request for this in the past, but it was marked as Won't Fix:
I’m a designer on the Jira team. For a long time, I’ve fielded questions from other designers about how they should be using Jira Software with their design team. I’ve also heard feedback from other ...
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