I don't think it is possible.
But one possible way is to give them Ticket import permission, in that way they can fill the template with the request type semicolon delimited and which will eventually create a request type based on semicolon delimited.. Also you need to keep in mind about the custom field if any,and add values later on.
I don't believe you can. Within Setup > Techs > Tech Permissions you can allow your Techs to manage Locations, Parts and FAQs but I don't see anything for Request Types.
Sounds like a Feature Request required to support.
SolarWinds solutions are rooted in our deep connection to our user base in the THWACK® online community. More than 150,000 members are here to solve problems, share technology and best practices, and directly contribute to our product development process.