Yes, the german military fielded MANY semi -auto rifles. They just weren't in as good of supply as the K98. They Had the K/G43 (some say it is the preqursor to the Russian SKS), they also in 1944 started equiping thier soldiers with the grand-daddy of ALL modern Assault-Rifles, the MP43/StG44. which was selective fire (semi or full auto). But they weren't as cheap and easy to produce and out of only a couple hundred thousand made, less than a third reached the front by the end of the war.
------------------
"Victory at any Price!"
SS-Panzergrenadier