  FeSe$_{1-x}$Te$_{x}$ superconductors manifest some intriguing electronic
properties depending on the value of $x$. In FeSe single crystal, the nematic
phase and Dirac band structure have been observed, while topological surface
superconductivity with the Majorana bound state was found in the crystal of $x
\sim 0.55$. Therefore, the electronic properties of single crystals with $0 < x
\leq 0.5$ are crucial for probing the evolution of those intriguing properties
as well as their relations. However, this study is still left blank due to the
lack of single crystals because of phase separation. Here, we report the
synthesis, magnetization, electronic transport properties, and hydrostatic
pressure effect of FeSe$_{0.67}$Te$_{0.33}$ single crystals free of phase
separation. A structural (nematic) transition is visible at $T_{s} = 39$ K,
below which the resistivity exhibits a Fermi-liquid behavior. Analysis of upper
critical fields suggests that spin-paramagnetic effect should be taken into
account for both $H \parallel c$ axis and $H \parallel ab$ plane. A crossover
from the low-$H$ quadratic to the high-$H$ quasi-linear behavior is observed in
the magnetoresistance, signifying the possible existence of Dirac-cone state.
Besides, the strong temperature dependence of Hall coefficient, violation of
(modified) Kohler's rule, and two-band model analysis indicate the multiband
effects in FeSe$_{0.67}$Te$_{0.33}$ single crystals. Hydrostatic pressure
measurements reveal that $T_{s}$ is quickly suppressed with pressure while
$T_{c}$ is monotonically increased up to 2.31 GPa, indicating the competition
between nematicity and superconductivity. No signature of magnetic order that
has been detected in FeSe$_{1-x}$S$_{x}$ is observed. Our findings fill up the
blank of the knowledge on the basic properties of FeSe$_{1-x}$Te$_{x}$ system
with low-Te concentrations.
