No, it will not. It won't even improve local area speeds unless the devices connected support something like SMB3 Multichannel.
In order for a network cable or local network equipment to be limiting your internet speeds, it needs to be slower than your internet connection, something that is pretty rare considering how most modern networking equipment is gigabit and internet connections over gigabit speeds are uncommon and expensive.
As for ping, it would make no difference at all.
What you can do is have them both connected for failover, so if one connection fails, the other is still working.