Yes, luteolin could be soluble in ethyl acetate, but it is not the best solvent for the compound.
Luteolin is a flavonoid with limited water solubility but better solubility in organic solvents. Ethyl acetate, being a semi-polar solvent, can dissolve luteolin to a limit, though it is not as effective as highly polar solvents like methanol, ethanol, or DMSO.
There is report regarding the solubility of Luteolin highest in DMSO followed by THF, butanol, 1,4–dioxane, methanol, diethyl ether, ethanol, ethyl acetate, acetone, propanol, acetonitrile, dichloromethane, water, toluene and benzene, respectively. you can refer to the following article: