The first search for double charged charmoniumlike state production in gamma (IS) and gamma (2S) decays and in e(+) e(-) annihilation at sqrt(s) = 10.52, 10.58, and 10.867 GcV is conducted using data collected with the Belle detector at the KEKB asymmetric energy electron-positron collider. No significant signals are observed in any of the studied modes, and the 90% credibility level upper limits on their product branching fractions in gamma(1S) and gamma(2S) decays [B(gamma(1S, 2S) -> Z(c)(+)Z(c)((')-)) x B(Z(c)(+) -> pi(+) + c (c) over bar ) (c (c) over bar = J / psi, chi(c1) (1P), psi(2S))] and the product of Born cross section and branching fraction for e(+)e(-) -> Z(c)(+)Z(c)((')-)) (sigma(e(+)e(-) -> Z(c)(+)Z(c)((')-)) x B(Z(c)(+) -> pi(+) + c (c) over bar )) at sqrt(s) = 10.52, 10.58, and 10.867 GeV are determined. Here, Z(c) refers to the Z(c) (3900) and Z(c) (4200) observed in the pi J/psi final state, the Z(c1)(4050) and Z(c2)(4250) in the pi chi(c1)(1P) final state, and the Z(c)(4050) and Z(c)(4430) in the pi psi(2S) final state.