This article introduces non-orthogonal frequency and time index modulation multiple access (NFT-IMMA) for sixth-generation (6G) communications. The proposed NFT-IMMA increases the number of communication resources by utilizing power levels, frequency, and time slots as transmission entities, which are selected through a predefined index activation pattern derived from partial user input data. NFT-IMMA increases spectral efficiency (SE) by employing index information and classical constellation symbols as methods of data transmission. Notably, it does not require prior scheduling at the base station, which simplifies the coordination process. Additionally, the use of three-dimensional indices for resource selection helps reduce user collisions. Performance evaluation at the physical layer, focusing on SE and bit error rate, indicates that NFT-IMMA outperforms conventional index modulation (IM) multiple access and IM-based orthogonal frequency division multiple access. At the MAC layer, NFT-IMMA demonstrates superior performance in terms of throughput and packet loss rate when compared to ALOHA and other competing techniques.