Remember all the "asymptomatic" COVID-1984 cases that were used to shut down all churches and schools but not Walmart or Antifa riots?
Those were deliberately generated false-positives.
Never let a crisis go to waste, and if there is no crisis to not let go to waste, generate one with PCR.
No, a false positive cannot be deliberately generated. Since PCR samples are run next to negative and positive controls, if the reagent mixture gets contaminated such that the reaction shows a positive when the target nucleic acid is not present, the negative control will also show a positive result. Once that happens, the entire PCR assay is discarded, the area where the PCR reactions are mixed is cleaned and the assay is repeated with all new tubes and pipettes on clean equipment. The PCR assay would also be repeated if the positive control came up negative.
Like I said, try to learn something about how PCR is conducted.