Maybe once! ;) Serriously though the answer is a resounding "NO". The pressures of the .460 greatly exceed those recommended for the 45 Colt/410 barrel. I highly discourage the desire to test this. The results at the least will ruin a nice firearm and at most can kill you. Save your pennies and buy a gun built for it.
Thompson Center is currently owned by Smith and Wesson holding corp.
The gun is chambered for the 32 caliber Winchester center fire cartridge. Also known as the 32-20.
.500 Smith & Wesson Magnum is the most powerful dedicated handgun cartridge. However, pistols such as Thompson-Center Contender are capable of chambering rifle cartridges such as .45-70 and .30-30.
The Thompson Center hawken that I have,has a barrel that is 28 inches long.
Thompson Center should be the company that you are looking for.
100-450 or so
100-400 USD
On 90% of the guns it is stamped on the right side of the barrel as "Thompson/Center Rochester New Hampshire" and "HAWKEN 45 Cal" along with a serial number on the left side. If not the easiest way would be to go to gunbroker.com or Google and search for Thompson center hawken, compare the pictures and description to what you have.
Look at the owner's manual for the correct ammunition. The barrel should also be marked.
Thompson Center has no official published serial number list, but I can usually tell a general age by the model and serial number. The model is in most cases engraved on the barrel, ie Cherokee, Seneca, Hawken, New Englander, Renegade etc. and the serial number is stamped on the barrel itself or on the breech plug. You can also contact Thompson Center directly and they may be able to help.
Thompson Center Arms was created in 1965.
You can order direct from Thompson Center or Dixie Gun Works also Midway USA. All have on line stores. You will need to know the model and caliber.