Theoretically, a simple switch could be more complex than it appears, and therefore theoretically it could have security issues.
For example, my completely wild guess would be that there's probably an arm or a mips CPU and some ram inside that doesn't really do much... this is because smart switches would often use the same switch chip, for Ethernet, but with additional flash chip actually populated on the same PCB causing some software to run in the thing allowing you to configure the device and giving the forwarding logic additional behavior.
Practically its extremely highly unlikely, that someone could exploit a dumb switch to run arbitrary code, regardless of the brand label on it and country of origin.
Enjoy the new switch!