Is sporting a noun

Yes, the Word 'sporting' is a gerund, the present participle of the verb 'to sport' that functions as a noun. The present participle of the verb also functions as an adjective.

Examples:

When he finished the fight he was sporting a black eye and a smile. (verb)

We have a sporting chance to win the prize. (adjective)

The kids are always excited by an opportunity for sporting. (noun)