This is not always possible.
For example, see this question: SEDE translation of Legendary badge query
or the data for the latest badge (as at 25-Feb-2011): Create a badge for excellence in site maintenance/flagging
SE DataExplorer does not have enough data to model a good portion of the queries.
The second and more crucial issue is that you want such a link to be able to check frequently - well, SEDE is updated weekly (on Monday)
How frequently is Stack Exchange Data Explorer updated?
The data is updated early every Monday morning around 3:00 UTC. The last update was Apr 26 at 6:43.