No sound coming from headphones

Hello, I'm here asking is there any way to fix my headphones?

I don't think there is anything wrong with the PC itself, but heres my specs:
Model: ASUS Desktop PC A_F_K20BF Series
Processor: AMD A8-6000 APU with Radeon (TM) HD Graphics - 3.50 GHz
Installed Memory (RAM): 6,00 GB (5,19 usable)
System Type: 64 bit Operating System, 64x based Processor.

So let me explain, the sound does not come on until I grip on the plug in a certain direction, if I stop gripping it for a few seconds it cuts out again. The problem is not the sound as the sound still works fine if I grip it. This has been going on for the past 1.5 to 2.5 weeks.

I'm considering buying a new pair, but is there another way to fix it?