No, the word 'erect' is a verb (erect, erects, erecting, erecting) and an adjective.

The noun forms of the verb to erect are erection and the gerund, erecting.

The noun form of the adjective erect is erectness.

Erect is defined as:

• Raise: construct, build, or erect; "Raise a barn"
• Upright in position or posture; "an erect stature"; erect flower stalks; for a dog, an erect tail indicates aggression
• Rear: cause to rise up
• Tumid: of sexual organs; stiff and rigid

- wordnetweb.princeton.edu