Can HMC981 control HMC997?

I think the key point is 

HMC981 can only give 200mA as Drain current.

HMC997 need 170mA as IDQ. But didn't show Pin v.s ID in the datasheet.

So we are not sure if HMC997 need more than 200mA when RF is plug in,

You are correct. When configuring an active bias controller, you need to set the target fixed drain current to the maximum expected value when RF is present.  If you want to get the specified output power and OP1dB, I think that IDQ needs to be set to somewhere between 230 and 250 mA,  So you would need to go with HMC980 or HMC920 which can deliver up to 1.6 A or 500 mA respectively.

You are correct. When configuring an active bias controller, you need to set the target fixed drain current to the maximum expected value when RF is present.  If you want to get the specified output power and OP1dB, I think that IDQ needs to be set to somewhere between 230 and 250 mA,  So you would need to go with HMC980 or HMC920 which can deliver up to 1.6 A or 500 mA respectively.