Can a phone that does not support OTG cable, after rooting, support OTG or a hybrid pen drive?

Yes , its perfectly possible to add OTG support to your device via rooting.

After rooting , apps like stick mount and USB OTG can be used to provide OTG support.

Beware , apart from the risks of rooting , if your device did not come with an otg functionality it means that it also does not have necessary hardware optimisations for otg support. By plugging in a USB device tour phone will have to provide it energy . This may cause overheating/burning out of CPU and/or battery explosion risks if the phone is not designed to support OTG