No, simply speaking, it's not.
IDE (Integrated Drive Electronics or 'PATA') is a Parallel method of data transfer. It uses 40 to 50 pins depending on where it's being used and a 4-pin MOLEX connector. SATA (Serial Advanced Technology attachment) is serial, as it's name suggests, and uses 7 pins for data transfer, and 15 pins for it's power.
If a laptop uses IDE drives, it will only have a Parallel drive port on the motherboard, and obviously, logic dictates that a Serial drive won't work on a Parallel connector, pin arrangement aside.
Parallel ATA - Wikipedia, the free encyclopedia
Serial ATA - Wikipedia, the free encyclopedia
You can get all kinds of active SATA bridges and adapters, but none of them would fit in a laptop, and if there's IDE anywhere in the chain, it's limited to that speed anyway. A connection is only as fast as it's slowest section.