Unfortunately, there is not a simple 'yes' or 'no' answer. There is a lot of confusion in this area from the industry and the consumer alike. It is not clear yet if disposable paper cups lined with plastics or bioplastics can be recycled in Australia. They are sometimes accepted across New Zealand and Australia in the co-mingled recycling collections. Call your local Council to find out if they will accept paper cups.
The recycling industry is in further turmoil since China's policy to stop taking 24 types of solid waste from across the world in January 2018. Since China's new policy has been enacted, it is not clear if paper cups are recycled anywhere in the world. Australia used to export 600,000 tonnes of recyclable waste to China annually. For us, this is the perfect time to look at commercial composting as a serious alternative. See our BioPak Compost Service page to arrange composting services in your area.
The APCO (Australian Packaging Covenant Organisation) is currently working on some guidelines at the national level.