Can you refuse this task?
Yes you can.
You can also most likely be terminated too. Take a look at your employment contract, employee handbook, etc. Most companies have this little clause "and other duties as necessary" that is designed to be a catch all for other miscellaneous crap the company may need you to do.
You might want to check with your local government employment agency too.
Can you ask for the tools?
Absolutely. If you are serious about keeping the job, and your employer is serious about the task they asked you to complete, they should not object to supplying the tools you need. If they do, this is a serious red flag.
Can you get fired if you refuse?
In the USA, unless you are in a union or somehow protected by a contract, you can be fired for refusing to do a task in most states. (Search up right to work states for more details)
If this type of stuff happens consistently, should you just look for
I certainly would look for other work ASAP. It is a jerk move to hire you for what you applied for originally only to be asked to do some serious manual labor.