We investigate Λ production in the ( ${\pi }^{+}$, $K^{+}$) reaction on a 6Li target at $p_{{\pi }^{+}}=1.05$ GeV/ c, using the distorted-wave impulse approximation (DWIA) with the Fermi-averaged ${\pi }^{+}n\to K^{+}\mathrm{\Lambda }$ amplitudes. The calculated spectrum is in good agreement with the experimental data, suggesting that ${}_{\mathrm{\Lambda }}{}^4\mathrm{He}$- d configurations play a key role in describing the Λ continuum states of ${}_{\mathrm{\Lambda }}^6$Li near and above the ${}^3\mathrm{He}+d+\mathrm{\Lambda }$ threshold. Our analysis shows that the ${}_{\mathrm{\Lambda }}{}^4\mathrm{He}$ hypernucleus as a hyperfragment is prominently produced through D-wave resonances with $J^P=3^{+}$, $2^{+}$, and $1^{+}$ in the ${}_{\mathrm{\Lambda }}{}^4\mathrm{He}+d$ channel at a large momentum transfer $q\simeq 360$–400 MeV/ c. These findings provide theoretical evidence for the production of a ${}_{\mathrm{\Lambda }}{}^4\mathrm{He}$ hyperfragment via a cluster-like mechanism in the 6Li( ${\pi }^{+}$, $K^{+}$) reaction.