Tissue engineering provides a pathway toward developing functional substitutes for damaged or diseased tissues. Hydrogel materials have shown promise in tissue engineering owing to their biocompatibility, tunable mechanical properties, and the ability to support tissue architectures and encapsulate cells. However, one significant challenge is hydrogel shrinkage due to the contractile forces exerted by encapsulated cells. We have developed a hydrogel based on gallic acid functionalized hyaluronic acid (HA), collagen I, and HA-multiwall carbon nanotubes (MWCNT) that exhibited cell-induced shear-resistant properties while permitting cellular functions. hiPSC-cardiomyocytes within these hydrogels exhibited similar rates of cell survival compared to collagen hydrogels and regular registers of their sarcomeric apparatus, indicating proper formation of the contractile machinery. Moreover, these cells showed synchronous flux of calcium in these hydrogels. Shrinkage of human fibroblasts-laden hydrogels decreased from ~20% for collagen to ~4% for hyaluronic acid-collagen-MWCNT hydrogels after 15 days in culture. To demonstrate the printability of the here-developed human fibroblasts-laden hydrogels, they were printed in a slurry of gelatin particles as a support bath. Printed rings maintained their shape over 7 days in culture with two different cell densities (1 and 2 million cells per mL). Importantly, the encapsulated fibroblasts spread out and formed an interconnected network throughout the whole 3D printed rings. In conclusion, we demonstrate a novel bioink platform that supports the tissue growth, function, and architecture without shrinking or losing structure.