The detection of the gravitational wave GW170817 defined a breakthrough in multi-messenger astronomy. For the first time, a gravitational wave transient detected by the Laser Interferometer Gravitational-Wave Observatory (LIGO) and Virgo interferomter was associated with a faint electromagnetic gamma-ray counterpart reported by the Gamma-ray Burst Monitor (GBM) aboard on the Fermi satellite. GRB 170817A was followed up by an enormous observational campaign covering a large fraction of the electromagnetic spectrum. In this work, we use the data from High Altitude Water Cherenkov (HAWC) gamma-ray observatory to search for very-high-energy (VHE) TeV photons in coincidence with the X-ray emission from GRB 170817A. Since no counts were observed up to $\sim$120 days after the trigger time, we derive and report the corresponding upper limits in the energy range from 1 to 100 TeV. In addition, we extend the analysis to GRBs with similar features proposed by A. von Kienlin.