Not for the time being, no.
The first stage of the new EC R-129 legislation, ending with i-Size, was passed in November 2012 and entered into force in July 2013. This stage only covers integrated seats, i.e. those which have a harness to secure the child in the seat and must be secured with the ISOFIX system.
The second stage was passed on 22 June 2017 and relates to non-integrated restraint devices, namely those devices which are secured with the car's seat belt, and for children over 100 cm tall. This second stage advocates for the use of booster seats with backrests.
The third stage is still under development. This stage is dealing with the amendments needed in order to update the ECE R44 standard for non-ISOFIX child seats (those which are secured to the vehicle with a seat belt) and the ECE R14 and ECE R16 standards (on seat belts and their anchorage to the vehicle) so that non-ISOFIX child car seats can also comply with the new criteria included in stages 1 and 2.