You can always get infected by cutting yourself on something that is, or once was, alive. Always wash the area well and then dab on some triple antibiotic like neosporin or something like that.
From Wikipedia:
Sphagnum moss can potentially harbour the chronic fungal disease, sporotrichosis. Sporothrix schenckii spores enter the skin via abrasions, scratches, and small puncture wounds as a result of unprotected contact exposure to Sphagnum moss.