Can I install oracle 10g on Windows 7 64-bit ?

LOL yes you can. You need to tweak the file oraparam.ini There are at least two lines you either need to add or change. The first is

Windows=5.0,5.1,5.2,6.0,6.1

I added the 6.1

Next is

[Windows-6.1-optional]

I added that below

[Windows-6.0-optional]

Setup will now run. During the install you will get a warning about the OS version but you can "OK" your way through it. Here is the entire contents of the file after changes

[Oracle]
DISTRIBUTION=TRUE
SOURCE=../stage/products.xml
LICENSE_LOCATION=
JRE_LOCATION=../stage/Components/oracle.swd.jre/1.5.0.11.0/1/DataFiles
JRE_MEMORY_OPTIONS=" -mx192m"
DEFAULT_HOME_LOCATION=oracle\product\10.2.0\db
DEFAULT_HOME_NAME=OraDb10g_home
NO_BROWSE=/net
NLS_ENABLED=TRUE
BOOTSTRAP=TRUE
OUI_VERSION=10.2.0.4.0
ADDITIONAL_COMPONENTS={"oracle.sysman.ccr:ALWAYS","oracle.rdbms.rat:ALWAYS","oracle.jdk:UPGRADE","oracle.swd.jre:UPGRADE"}
## JRE_VERSION is only for Windows. This is to copy accessbridge dlls
JRE_VERSION=1.5.0
#SHOW_HOSTNAME=ALWAYS_SHOW shows the hostname panel always
#SHOW_HOSTNAME=NEVER_SHOW does not the hostname panel
#SHOW_HOSTNAME=CONDITION_SHOW shows the hostname panel on condition
SHOW_HOSTNAME=NEVER_SHOW
#THIN_JDBC_FILENAME is optional and defaults to classes12.jar
#The value specified for this should be packaged with OUI, and should
#be relative to <OUI expanded stagedir>/jlib/
THIN_JDBC_FILENAME=classes12.jar
#RUN_OUICA specifies the batch script name that needs to be run
#The script is ouica.bat for win32, and ouica.sh for solaris.
#If the value is not specified, then the OUICA script is not run
RUN_OUICA=ouica.bat
CLUSTERWARE={"oracle.crs","10.1.0.2.0"}
SILENT_VARIABLE_VALIDATION=TRUE

[Certified Versions]
#You can customise error message shown for failure, provide value for CERTIFIED_VERSION_FAILURE_MESSAGE
Windows=5.0,5.1,5.2,6.0,6.1

#Windows 2000 use winver.exe to find version
[Windows-5.0-required]
#Minimum display colours for OUI to run
MIN_DISPLAY_COLORS=256
#Minimum CPU speed required for OUI
#CPU=300

[Windows-5.0-optional]

#Windows XP use winver.exe to find version
[Windows-5.1-required]
#Minimum display colours for OUI to run
MIN_DISPLAY_COLORS=256
#Minimum CPU speed required for OUI
#CPU=300

[Windows-5.1-optional]

#Windows .net use winver.exe to find version
[Windows-5.2-required]
#Minimum display colours for OUI to run
MIN_DISPLAY_COLORS=256
#Minimum CPU speed required for OUI
#CPU=300

[Windows-5.2-optional]

[Windows-6.0-required]
#Minimum display colours for OUI to run
MIN_DISPLAY_COLORS=256
#Minimum CPU speed required for OUI
#CPU=300

[Windows-6.0-optional]

[Windows-6.1-optional]

[IMAGES]
FILE1=images/rdbms_1.gif
FILE2=images/rdbms_2.gif
FILE3=images/rdbms_3.gif
FILE4=images/rdbms_4.gif
FILE5=images/rdbms_5.gif
FILE6=images/rdbms_6.gif
FILE7=images/rdbms_7.gif
FILE8=images/rdbms_8.gif

LICENSE_LOCATION=license.txt