Assssuming that you use an appropriate number of hard drives, the power supply will be inadequate.
It is somewhat hopeless, for the following reasons:
1) The case and PSU combo, first and foremost: HP Pavilion cases favor style over substance. In fact, cooling is inadequate for any decent combination of multiple drives and a reasonably fast GPU. Plus, the HP Pavilion cases are too cramped on the inside for a decent GPU. In addition, none of the PSUs HP supplies can deliver their rated wattage in realistic internal operating temperatures: Consider their "600W" unit as a 450W to 500W unit at best.
2) The available disk setups: HP does not offer more than two disks (the OS disk and one other disk) even at extra cost. Worse, HP does not offer a disk combo that we'd consider suitable for an editing system: For the OS disk, you'd either have to get an SSD or a hard drive that's way too big for an OS disk. Plus, the only available secondary HDDs from HP are those that we'd consider too small (in relation to the hard drive choices for the OS). The 500GB and 1TB hard drives should have been offered as the OS/programs drive, and the 2TB and 3TB drives should have been offered as secondary drives. Worst of all, two of the OS disk choices offered by HP consist of two SSDs configured in either RAID 0 (or "aid0", as Harm Millaard calls it) or RAID 1 (which completely defeats the TRIM feature that many of the SSDs provide) - a definite no-no for the OS/programs disk to begin with.
3) The lack of any selection of nVidia GPUs that we'd consider well balanced with the CPU. That HP offers no nVidia GPU higher than a GTX 550 Ti, and none of the AMD Radeon GPUs can be used in MPE GPU acceleration mode at all. (I do not consider a 3GB GT 545 as anywhere close to adequate for that system due to its slow DDR3 VRAM and only 144 CUDA cores versus 192 CUDA cores for the GTX 550 Ti.) Performance-wise, an i7-3930K with a GTX 550 Ti would have been about as fast overall as an i7-2600K with a GTX 560 Ti (in its original version with 384 CUDA cores).
4) The available RAM configurations. HP cheaped out by using a motherboard with only six DIMM slots (and filling up all six would have forced an imbalanced quad / single-channel memory controller mode with this platform) - and they do not offer more than 16GB total of RAM for that system even at extra cost. What's more, half of the available choices in the total amount of RAM do not take full advantage of the LGA 2011 CPU's quad-channel memory controller (the base choice, a paltry 8GB of RAM via two DIMMs, would have utilised only two of the four channels on the memory controller, while an "upgrade" to 10GB via an extra DIMM would have resulted in an imbalanced triple / single channel memory configuration due to the module sizes and memory bank sizes being unequal). And as I stated earlier in a couple of other threads, PPro CS5.5 works best with 2GB to 3GB of RAM per logical core - but while the 16GB maximum would suffice for the cheapest, slowest CPU choice available for that system (an i7-3820), it is really not enough for the other two CPU choices (which both have six physical cores or 12 logical cores, which would have resulted in each of the 12 logical cores averaging only 1.3GB of RAM).
5) The fact that it is an HP means no overclocking capability whatsoever. HP offers two CPUs that can be overclocked - but then HP shoots itself in the foot by not including any manual CPU or RAM speed or voltage settings at all whatsoever.