You mean can someone use Remote Access, and repair your computer?
B) Also no one on FixYa is allowed Remote Access to someone else's computer, through FixYa. Good way to get your membership cancelled.
Since this is the world's largest product support website, and I am an expert in the field you are having a problem in, how about you, and I see what the problem is, and go about fixing it?
There are two TOP things that bring a desktop computer to a repair shop;
1) The inside of the computer is dirty.
2) The Power Supply inside the computer is bad.
Past that it's usually just a loose ram memory module, ('Stick'), or a bad harddrive, or malware.
Past those it gets a little more complicated. (Okay, maybe a lot, lol!)
Just from your quick description, I am willing to bet the inside of the computer is dirty.
So, let's start with you posting the manufacturer name, and model number of the desktop computer. (Post back in a Comment)
This is on the back of the computer next to the Windows product key. Example of a Windows product key,http://images.search.yahoo.com/images/view;_ylt=A2KJkK4xlPxPuBMAiRWJzbkF;_ylu=X3oDMTBlMTQ4cGxyBHNlYwNzcgRzbGsDaW1n?back=http%3A%2F%2Fimages.search.yahoo.com%2Fsearch%2Fimages%3F_adv_prop%3Dimage%26va%3Dwindows%2Bproduct%2Bkey%2Blabel%26fr%3Dmoz35%26tab%3Dorganic%26ri%3D6&w=600&h=406&imgurl=www.computer-system-software.com%2Fphoto%2Fpl348323-xp_sp3_oem_software_windows_product_key_sticker_labels_for_intel_or_dell.jpg&rurl=http%3A%2F%2Fwww.computer-system-software.com%2Fchina-xp_sp3_oem_software_windows_product_key_sticker_labels_for_intel_or_dell-245704.html&size=39.1+KB&name=...+SP3+OEM+software+Windows+Product+Key+Sticker+labels+for+intel+or+dell&p=windows+product+key+label&oid=0006eae4952fe1bcf06d5873fd15fc92&fr2=&fr=moz35&tt=...%2BSP3%2BOEM%2Bsoftware%2BWindows%2BProduct%2BKey%2BSticker%2Blabels%2Bfor%2Bintel%2Bor%2Bdell&b=0&ni=96&no=6&ts=&tab=organic&sigr=142ska8ud&sigb=13j0jagh4&sigi=13sbi9qh0&.crumb=J6iwC7bwOtM
(For an HP computer for example; look for the Product Number.
This is in a white Service Tag. P/N = Product Number)
Or it may be up on the side of the computer tower.
(Some models of desktop computers have a panel, or door, in the front. Upon opening it the model number is on a label inside)
From there you will unplug your computer from power, then open the computer case. BEFORE reaching inside the computer, you will follow Anti-Static Precautions.
Your body carries Static electricity. Static WILL fry out (Short Circuit), the delicate hardware components (Parts) inside a computer.
Computer on a table, computer unplugged from power, computer case open.
TOUCH an unpainted surface, of the metal frame of the open computer case.
This action will relieve your body of Static, and keep your computer safe.
Should you leave your computer in the middle of working on it, be SURE to Touch the metal frame again, upon your return.
Then you will look to see if the inside of the computer is dirty.
At that point if it is, use a can,(Or two), of compressed air for computers, and clean the inside of the computer out.
(Specific procedure. Will post when you are ready)
From that point I will guide you, in looking to see if any Electrolytic Capacitors are bad on the motherboard.http://www.capacitorlab.com/visible-failures/index.htm
Those two items above, and a failing Power Supply, can cause what you have described.
Post back in a Comment, Katheleen.