Let me look up both archetypes to compare them directly.
Let me search for 4-color control archetypes in the database more broadly.
The data is clear. No, Jeskai Control and 4-color Control are not the same archetype. Here is the breakdown:
Jeskai Control is a strictly 3-color deck running White, Blue, and Red (WUR). In Pioneer, its key cards include Jeskai Revelation, Stock Up, Great Hall of the Biblioplex, and Steam Vents. In Modern, it has its own separate listing as well. The color identity is a defining characteristic of how it is tracked and classified in tournament data.
There is no single "4-color control" archetype registered in the database by that name. The closest 4-color control variants that do exist are tracked under very specific names tied to their color combinations or a key card: in Modern you have WUBR Control, WUBG Control, WURG Control, and Omnath Control (also WURG). These are all distinct archetypes from Jeskai, adding a 4th color such as Black or Green to the base shell. Adding a 4th color changes the mana base, the card choices, and the overall game plan significantly enough that they are classified separately.
So to directly answer @Zacktrack92: no, they are not the same. Jeskai Control is always 3 colors (White, Blue, Red). A 4-color control deck adds a 4th color, which usually means a different set of win conditions and interactive tools. Depending on the format you're asking about, the closest relative to Jeskai going wider on colors would be something like WUBR Control or Omnath Control in Modern.
Sources: Archetype classification data pulled from the tournament database across Pioneer and Modern formats. No specific event links are needed as this is a structural archetype question based on registered color identities in the database.