The question isn't if UAV's can operate off of 056's. Of course they can. The question is can UAV's be stored inside 056's. Of course they can't. Unless you're talking about something the size of a basketball or small animal.Even if there is no space inside the 'garage door' areas for additional storage I don't see that preventing UAVs from operating off of the 056.
If a helicopter can be operated off of just the landing pad, even if for 'one time' use making fuel supply unnecessary, then rotary wing and rocket launched UAVs can definitely do the same.
Given the 056's patrol role any UAVs based onboard will probably be reconnaissance types instead of attack types anyways so there is no need to support weapons. There are also Harpy-type one time use attack UAVs (more like manually guided loiter missiles).
#4 056 of Hudong, or the 13th of the Total
04 March
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CHINA
Internet forum on Project 056 corvettes: “Word on the street is that both Hudong No3 and Huangpu No3 are Project 056A with enhanced ASW capabilities, possibly better hull sonar and towed array sonar”.