Hypersymmetric extensions of Maxwell-Chern-Simons gravity in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> dimensions

We present a consistent way of coupling three-dimensional Maxwell-Chern-Simons gravity theory with massless spin-$\frac{5}{2}$ gauge fields. first introduce the simplest hyper-Maxwell-Chern-Simons generically containing two spin-2 fields coupled Majorana fermion spin $\frac{5}{2}$ whose novel underlying superalgebra is explicitly constructed. then three alternative hypersymmetric extensions Maxwell algebra which are shown to emerge from In\"on\"u-Wigner contraction procedure precise combinations $\mathfrak{o}\mathfrak{s}\mathfrak{p}(1|4)$ and $\mathfrak{s}\mathfrak{p}(4)$ algebras. This allows us construct distinct types theories that extend include interacting nonpropagating spin-4 accompanied by one or