May be its very late response but I also faced same issue yesterday while installing ubunut 13.10 64 bit on ASUS K53SM with Windows 7.
But I was able to install it .Yes its Possible.
I don't think it has anything to do with your NVIDIA® GeForce® GT 630M card.
The problem is with your Hard Drive Set up.
Steps I followed to Install:
1.I had C drive (Windows 7) of 100 Gb.
2.I transferred all important data to my portable hard disk and created other partition of the rest of the space(Its Empty).
3.Now I inserted bootable pen drive and started to install ubuntu.
4.I was greeted with screen of install options
a. Ubuntu along with Win 7
b. Delete Win 7 and complete install Ubuntu
c. Something else (i.e. self partition)
Now here first I selected option a and boom black screen and Reboot
Again same process I did and now I selected option C i.e self partition.
7.I choose empty partition , formatted it with EXT4 with size 40 Gb and mount point as root i.e \ (at bottom there is + - Change option for partioning)
8.Then I formatted remaining space for SWAP i.e 4 Gb since my ram is 4 Gb
9.Then I formatted reaming space with few drive I needed. you can do as you wish this step not necessary
10.Now I selected the root partition i.e EXT4 formatted 40 Gb for ubuntu installation
and I installed it successfully.