Conceptually you could, but there's a long list of checks to go through before your management would accept this concept for further development. Some of these checks would be:
a)Where does the vapor line from this blowdown drum lead to and is the worst case built up backpressure on this RV within limits for this RV?
b)What else does this blowdown drum do - does it receive low temp liquids that could freeze the incoming pump PSV liquid and block up the drum?
c)Assuming this pd pump operates at a much warmer temperature than the blowdown drum, does the design temperature of the drum suit the max liquid temp?
d)Any corrosive components in this pd pump PSV that this downstream BD (and its pump) is not designed for, from a materials of construction viewpoint ( H2S, ammonia, caustic, high chlorides, mercury etc)?
e)Is there sufficient high level trip protection at this drum ?
f)Does this drum receive any continous clean liquid streams, and what type of pump do you have at this drum ? Are the fluids from this pd pump PSV fouling / solids laden, and can this then mess up the continous operation of this blowdown drum pump ? Remember many PSVs' leak a little all the time.
g) Provided you have high pressure trip protection at this PD pump (and the normal operating pressure controls at this pump are working well), and high level trip protection at the blowdown drum, and you have a central control room where you have all alarms indicated, and the CR is continously manned, if you can find 5minutes of holdup between LCH(level control high) and LAHH at the blowdown drum for the max relief rate from this PSV (plus any other continous stream rates), that would be acceptable.
h) What type of pd pump is this; if this is a recip pump, are the discharge side pulsations well under control, and peak pulse pressure is well below 90% of PSV set pressure?
Pls note this list is not complete; there may be other concerns we dont know of, given the limited info provided.