No. Way underspecced on all aspects, CPU, GPU, display, disks, memory.
Some ideas for a Laptop Video Editing PC from past discussions
-NOTE only 1 hard drive in above, so you will need to add a 2nd drive or use eSata for video files
-or Google "ASUS G74SX-BBK7" (without the quote "" marks)
For effective HD video editing, a laptop with the following
-the newer Intel sandy bridge 2720 or 2820 quad processor
-and nvidia graphics preferably the 460m, 485m is a bit much
-1280x900 display with OpenGL 2.0-compatible graphics card
-and 8 or 16 gig ram and Win7 64bit Pro
-and 2 internal 7200 HDDs minimum
This message has a really good graphic about requirements
Mac vs PC speed http://forums.adobe.com/thread/879666
CS5 Requirements http://forums.adobe.com/thread/810750
Build it Yourself http://forums.adobe.com/thread/815798
About Requirements http://forums.adobe.com/thread/618058
Disk Configurations http://forums.adobe.com/thread/878419
As Harm stated, no. There are no T4xxx series CPUs on the current PPBM5 results list. However, the only Core 2 Duo-based laptop with onboard Intel "HD" graphics on the PPBM5 results list is based on the pricier T5550 CPU - and that system is very close to the very bottom of the list in overall score, and one of the very slowest systems on the list in terms of relative performance: Based on the RPI, it is more than 67 times slower than a fast i7 desktop system, and in terms of overall score it ranked 714th out of the 718 systems that are currently on the list. And that was largely due to that laptop's slow 1.83GHz clock speed (however, it is helped somewhat by its 2MB of L2 cache). The Pentium T4300 runs at a higher 2.1GHz - but is crippled by its inclusion of only 1MB of L2 cache. Therefore, expect your laptop's overall ranking to be at or very near the bottom (worst-performing systems) of the PPBM5 results list. (In practical terms, what would have taken eight minutes with a reasonably fast current-generation laptop without hardware MPE support would now take at least a half hour with that particular laptop.)
And then, there is clearly the issue of screen resolution: All of Adobe's Premiere Pro versions require a minimum of either 900 pixels (CS4 and CS5.x) or 1024 pixels (CS3 and earlier) in vertical display resolution (this is because earlier versions of Premiere Pro prior to CS4 are designed for displays with a 4:3 aspect ratio while CS4 and later are optimized for widescreen displays). Unfortunately, the display on your laptop has only 768 pixels of vertical resolution. As a result, some critical portions of the work interface in Premiere Pro will be completely cut off - and there is no way at all whatsoever to retrieve the cut-off portion(s) of the work area short of upgrading to a higher-resolution display or connecting an external monitor (which completely negates the very purpose of a laptop to begin with).
Finally, that notebook cannot accommodate more than one single fast hard drive - period. Unfortunately, the SATA interface that it uses cannot handle data transfers in both directions simultaneously because SATA is only half-duplex. This means that transfers going in one direction must be completed before any data starts transferring in the opposite direction. That makes single-drive systems very ill-suited to video editing purposes because such programs require simultaneous reads and writes. Moreover, that laptop does not have any eSATA, USB 3.0 or Firewire ports whatsoever; it has only USB 2.0 ports plus a connector that only supports HP-specific devices. And the maximum practical transfer speed of USB 2.0 is only around 35 MB/s read and 27 MB/s write (as I discovered during my testing of a fast CF flash memory card in a USB 3.0 multi-format card reader that was connected to a USB 2.0 port). Plus, USB currently suffers from the exact same bi-directional limitation as SATA.