Create polygon from list of points only if they are nearby

I have a list of points (longitude and latitude), as well as their associated point geometries in a geodataframe. All of the points should be able to be subdivided into individual polygons, as the points are generally clustered in several areas. What I would like to do is have some sort of algorithm that loops over the points and checks the the distance between the previous and current point. If the distance is sufficiently small, it would group those points together. This process would continue until the current point is too far away. It would make a polygon out of those close points, and then continue the process with the next group of points.

gdf
longitude   latitude    geometry
0   -76.575249  21.157229   POINT (-76.57525 21.15723)
1   -76.575035  21.157453   POINT (-76.57503 21.15745)
2   -76.575255  21.157678   POINT (-76.57526 21.15768)
3   -76.575470  21.157454   POINT (-76.57547 21.15745)
5   -112.973177 31.317333   POINT (-112.97318 31.31733)
... ... ... ...
2222    -113.492501 47.645914   POINT (-113.49250 47.64591)
2223    -113.492996 47.643609   POINT (-113.49300 47.64361)
2225    -113.492379 47.643557   POINT (-113.49238 47.64356)
2227    -113.487443 47.643142   POINT (-113.48744 47.64314)
2230    -105.022627 48.585669   POINT (-105.02263 48.58567)

So in the data above, the first 4 points would be grouped together and turned into a polygon. Then, it would move onto the next group, and so forth. Each group of points is not evenly spaced, i.e., the next group might be 7 pairs of points, and the following could be 3. Ideally, the final output would be another geodataframe that is just a bunch of polygons.

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