No. You must capitalize any expense you pay to improve your rental property. An expense is for an improvement if it results in a betterment to your property, restores your property, or adapts your property to a new or different use.
Carpet replacement is considered an improvement, and is depreciated over a 5-year period (9 years under the alternative system).
For more information - IRS Pub. 527 - Residential Rental Property:
https://www.irs.gov/pub/irs-pdf/p527.pdf