Graphene systems have received growing attention as it can manifest itself in insulating, metallic, and even superconducting states by the band structure engineering. Here, we demonstrate a new approach to create non-trivial band structure from conventional two-dimensional materials such as graphene via patterned lattice deformation. We observe the linear and non-linear Hall effects under time-reversal symmetry in an artificially corrugated graphene system. This strain is engineered to induce pseudo-magnetic fields and break the spatial inversion symmetry, which results in the distorted Dirac cones with Rashba-like valley-orbit coupling and the momentum-space Berry curvature dipole. This new technique provides a unique platform to modify the band structure and warp the Fermi circles in van der Waal materials via patterned mechanical deformation.