Yes, you can. Usually, three types of child seats are available - baby seats, child seats and booster seats. Note that child seats cannot be guaranteed and depend on local availability. However, most rental companies have plenty of child seats in stock.
It is worth considering taking your private child seat to avoid additional costs and ensure a safe travel with your child. With most airlines you can take a child seat with you without any costs. Please contact your airline for more information on this.