While there is a on going ARM port for Wine it is important to remember that Wine is now a CPU emulator.
What does this mean? Well it means that while you can indeed install wine it will only be able to run .exe files that have been compiled for the ARM processor, which is next to none.
The problem is that 'normal' computers use the x86 or x86-64 architectures for there processors, which is very different to the ARM processor architecture most android devices use so its not possible to run .exe files from these architectures on our phone.
However it does seem the goal of ARM wine is so in the future after Windows 8 has been released to allow running of programs that have mean made for the ARM processor (As Windows 8 will run on ARM).
For more information see here: http://wiki.winehq.org/ARM