No. Your local recycling centre won’t usually accept carpets, mats or rugs for recycling. Instead, if your carpet is in good condition, try selling it! Advertise in local papers or on community noticeboards. Otherwise, why not donate it? Give it to a charity shop, school or jumble sale.
However, there are some specialist companies such as The Carpet Group that are carpet recycling companies. Thery offer a bulk collection service and can recycle certain carpets.