The short answer is Yes, Hydrogen Peroxide will remove Chloramine from water.
There may, however, per my sourced review of the underlying chemistry, be also some immediately unfavorable by-products relating to chemical formations, and longer term storage/use of the treated Chloramine/$\ce{H2O2}$ may also present biological hazards as well.
To understand why, one must note that Chloramine ($\ce{NH2Cl)}$ in water undergoes hydrolysis forming Ammonia and Hypochlorous acid, the $\ce{HOCl }$ being the main disinfecting agent (paralleling the action of Chlorine in water) and the reputedly rationale of employing $\ce{NH2Cl}$ to disinfect water. Albeit, although Chloramine is decidedly weaker than aqueous Chlorine, it serves as a longer lasting stable provider of the active/unstable Hypochlorous acid in water:
$\ce{NH2Cl + H2O = NH3 + HOCl}$ (See Eq (1) here)
$\ce{Cl2 + H2O = H+ + Cl- + HOCl}$
The addition of a Hydrogen Peroxide to Hypochlorous acid is actually a fast reaction resulting in a powerful disinfectant action as a consequence of radicals and even transient Singlet Oxygen formation, but unfortunately, it completely destroys/removes the Hypochlorous acid.
$\ce{ H2O2 + HOCl = O2 + H2O + H+ + Cl- }$ (See Eq(4) here)
So if one adds Hydrogen Peroxide to both sides of the opening $\ce{NH2Cl}$ reaction cited above, one would expect the main residual product to include Ammonia with the removal of $\ce{HOCl}$. However, more recent chemistry, a 2008 article in the field of Atmospheric Science “Hydroxyl radical from the reaction between hypochlorite and hydrogen peroxide”, suggests that the above reaction proceeds first with the introduction of the powerful hydroxyl radical. Now, in the further presence of ammonia, this could introduce the amine radical and as a consequence similar unfriendly products as reported in the photolysis of such systems. For example, this work: “Photolysis of Mono- and Dichloramines in UV/Hydrogen Peroxide: Effects on 1,4-Dioxane Removal and Relevance in Water Reuse”, as to products, to quote:
photolysis of chloramines produces inorganic nitrogen breakdown products, including nitrate, ammonia, gaseous nitrogen, and organic nitrogen products (Figure 6)...Overall, ammonia accounted for 60−75% of the nitrogen products. The production of ammonia was likely via the breakdown of NH2• that was transformed into the intermediate N2H4 and then NH3 [38]. The initial formation of nitrite was possible via decomposition of NH2•; however, the subsequent oxidation of nitrite by chloramine generated nitrate [39].
where sunlight induced radicals (particularly, the hydroxyl and amine radical) can apparently foster unfriendly nitrite, nitrate and even traces of hydrazine ($\ce{N2H4}$).
To review what has occurred with the addition of Hydrogen Peroxide is the removal of the Hypochlorous acid and the introduction of Ammonia and transient powerful radicals. Now, if we consider the case of what occurs when we simply boil water containing dissolved Oxygen, it loses its disinfecting power and soon becomes contaminated with mold and bacteria. In the current case, similarly, one should likely expect the further action of Oxygen and bacteria acting on Ammonia, in the absence of disinfecting $\ce{HOCl}$, correspondingly allowing for such growth, which in the presence of Ammonia, may lead to nitrate. This problem has been well documented as occurring in well water where problematic high nitrate levels can kill cattle and, at low concentrations, even human infants appear to be very susceptible resulting in nitrate poisoning (see CDC’s “Nitrate and Drinking Water from Private Wells”).
My related recommended reading includes: "Occurrence, genotoxicity, and carcinogenicity of regulated and emerging disinfection by-products in drinking water: a review and roadmap for research", which notes: "Disinfection by-products (DBPs) are formed when disinfectants (chlorine, ozone, chlorine dioxide, or chloramines) react with naturally occurring organic matter, anthropogenic contaminants, bromide, and iodide during the production of drinking water."
So if even one wishes to dismiss/minimize potential problematic initial chemical compounds, there appears to be a good parallel between how to safely use freshly boiled water and water containing Chloramine that has been treated with Hydrogen Peroxide thereby removing the protective Hypochlorous acid.