I cannot be 100% positive but I reckon the chance is quite high. My rationale is:-
InWin A1 site says it can take a CPU cooler of 160mm. This distance measures up from top of CPU and I conservatively assume it reaches the side panel of the A1.
It is about 9.6 mm thick from top of CPU to bottom of motherboard.
And, from my own measurement, it is about 12mm from bottom of motherboard to tip of the display card's PCI slot bracket.
The MSI 2070 Armor is 155mm tall, measuring from tip of PCI slot bracket to top of the back plate. However, the PCIe power connectors do not go all the way up but recessed down about 10mm.
At the end, I estimate you will have a total of 37mm free space to fit the PCIe connectors (plus their cables).
So, it looks OK to me.