Internal Kitchen Plumbing

Bought a new 2nd floor tenement flat and converting internal box room into kitchen. The waste pipe will be laid under the floorboards of old kitchen easy enough however the existing waste from old kitchen connects to external ironwork at approx 18inches off the floor height. I know this is a daft question but can my waste pipe from new kitchen work ok by rising from underfloor height to join this connection!

Any advice on how to sort can be tackled!

Thanks

Tony

In a word - No. Is there no way of taking the waste straight outside and into a hopper ?

No there is no way of getting a new connection outside direct to hopper, pipe connection 60ft from ground!