I’m aware the iPad Mini 4 is overwhelmed running the DJIFly app but what about the DJI Go 4 app?
Sorry if this has been asked before - I did look 
I’m pretty sure the answer is no. The Fly app took over from Go4 when the Air 2 came out and the last users of the Go4 were the Phantom 4 and the Mavic 2.
GO4 runs just fine on an ipad Mini 4.
Litchi also runs beautifully on a Mini 2, 3 and 4
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Which drone do you have?
All DJI drones work either with Go4 or GoFly … none work with both.
A list of which drones are operated by which app can be found here.
The iPad will run DJI GO4.
The DJI GO 4 app is compatible with the Mavic Pro, Mavic 2, Mavic 2 Pro, Mavic Air, Spark, Phantom 4 Advanced, Phantom 4 Pro, Phantom 4 V2.0, Inspire 2, and Matrice 200-210 RTK.
The DJI Fly App is compatible with DJI Mini 3, DJI Mini 3 Pro, DJI Mini 4 Pro, DJI Mavic 3 Classic, DJI Mavic 3 Pro, DJI Mavic 3, DJI Mini SE, DJI Air 2S, DJI Air 3, DJI Mini 2, DJI Mini 2 SE, Mavic Air 2, Mavic Mini, DJI Avata and FPV.
As @PingSpike says Litchi will run on an iPad Mini 4 and is compatible with a broader range of aircraft
Litchi for DJI Drones is compatible with: Mini 2, Mini SE (version 1 only), Air 2S, Mavic Mini 1, Mavic Air 2, Mavic 2 (Zoom/Pro), Mavic (Air/Pro), Phantom 4 (Standard/Advanced/Pro/ProV2), Phantom 3 (Standard/4K/Advanced/Professional), Inspire 1 (X3/Z3/Pro/RAW), Inspire 2 and Spark.
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What makes you think that Rob mate? 
Sorry, too many distractions, misread the title. I thought the OP was referring to a Mini 4. Now amended and answer expanded.
Litchi is my preferred software for flying.
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Ah
I used to run GO4 on an iPad Mini 2 before the 3, then 4.
There are a few threads @Stitch-Up about how bloated GO4 got in the end, and started throwing high CPU load warnings all the time - eg CPU fully loaded? - #2 by PingSpike
As many have suggested, use Litchi instead.
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