You probably cannot transplant existing plants, but you can purchase spawn and attempt to seed an area yourself.
Whether or not this will result in morels is not a certainty.
I believe that morels are tuned to specific soil conditions and tree species - so you'll not get "fire morels" to grow withe apple trees, or linestone soil morels to grow in loam. I'm still very early in my research, but I have found that "Western" morels don't seem to want to grow on the East Coast.
-t
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