No. You need a Thunderbolt port.
You can use an external GPU, only if your laptop comes with a Thunderbolt port...
I don't think using a type C USB port will work on an eGPU ? It doesn't support external GPUs. It must be a “Thunderbolt” port, which supports higher bandwidth as well. A thunderbolt uses 2 or 4 PCI express lanes so it can enable the access of external GPU to the processor.
USB TYPE C type is really a great standard, as it was created with the idea to bring uniformity in port's standard which it did, and is continuing to do so….
But when it comes to supporting external GPU, that is totally a different story…The port hardware doesn’t have the capability to do that…IMO, one needs thunderbolt hardware support...