No, not normal... Best case it's the Supercharger's "Coupling" and I hope that is ALL that it is and is your cheapest remedy/repair if in fact is such...
I hope I am wrong... But this sounds a lot like timing chain "Slap" and/or even worse a Whole-Lotta like a failing Piston Bearing against the Crank-Shaft's index journal...
My 14 L494 did that for the first 5 seconds upon every single start-up (until it became permanent) after I brought her home "used" from the JLR Dealership... 58 days later the engine blew a Rod-Bearing thus scoring the Crank-Shaft, losing compression, and ruining the engine. Thus causing a Total Engine Replacement to the tune of $32,000 after an $8K core credit for the core/blown engine that was sent back to "Solihul England".
I really hope I am wrong and you the best...
Mine was a result of the Previous Owner NOT changing the oil often enough, letting her run low, and using Jiffy-Loser Oil instead of the "JLR-Spec'd" Castrol Professional 0W-20 Spec'd oil and filter... She went almost 20K miles between oil changes and did the "Jiffy-Lube-ers/Losers" deal thus "Cheapin'-Out" on a $89,000 Vehicle which is beyond cheap, short-sided, and "Stup-It" as the kids say today. I'm NOT saying that is what is happening here to the OP. But the aforementioned is EXACTLY what the Dealer's Shop Foreman and Master Mechanic stated happened after they tore down the engine and Crank Shaft, Cylinders, Rings, Bearings, Etc... This is just my experience and take it for what it's worth. I certainly hope this isn't your experience OP and I wish you all the best of luck!
-Ham