I would have to answer No, it will not. I run a Texas Star 500V on a 75 amp regulated power supply. It has a built in amp meter, and I also have two additional amp meters installed in the power lines. They all agree within 2 amps of the total reading.
I run the Texas Star at 14.0v ~ 14.5 v ..... Radio has a 4 watt am dead key into amp that will swing up to 18~20 watts PEP.
At these settings and operating parameters, the Texas Star 500V will consistently draw up to a maximum of 62 amps from the 75 amp power supply. General modulation will normally be drawing around 35 amps to 52 amps.
So, you would probably be operating a 50 amp power supply near or at max amperage, or exceeding much of the time.