It is possible and if it is you have a serious problem. Seek professional help.
water pump leaking at seal hard lower radiator hose or loose clamp hardened or punctured bypass hose shrunken timing cover gasket thermostat gasket shrunken
your main oil seal on the rear of engine is leaking or the timing cover seal is leaking,
I would suspect a leaking water pump, if I remember correctly it is mounted right in front of the timing cover and if it is leaking from the back the water will find it's way out somehow.
its probably leaking from somewhere else and dripping off at the tranny area. pressurize the coolant system so that you can detect the leak and go from there.
its having its period
Head gasket, timing cover gasket, or hose leaking.
Timing cover
your water pump is leaking and traveling down to the cover. Water pump needs replacement.
Engine seal? Valve cover gasket? Timing chain cover?
If you're getting anti-freeze on or around the timing chain cover it's probably coming from the water-pump. Check the bottom of the water pump shaft. There are "weep holes"at the bottom. If there are mineralization traces coming out of the weep holes you need a new water pump. No, it shouldn't. Yes, it can. A lot of timing chain covers have antifreeze passages and the gasket can fail.
Knowing the YEAR would help answer your question a little better. Check these things : Water pump, INTAKE MANIFOLD GASKET, And there could be a heater hose fitting screewed into the front left corner of the intake that could be leaking. That's you standing in front of the engine looking at it. There is also a Freeze plug that is hidden on the left front side of the timing cover that could be leaking.