Does every company need a procurement officer? If not, who can handle the procurement tasks instead?

Actually it depends on the Company Size and Business Nature i.e. : 

1. Small to Med size Companies usually does not require a dedicated person for procurement and any one from financial and administrative Dept. might do it beside his other duties.
2. If the company's business is dependent mainly on Sourcing and Procuring items for the sake of selling or utilizing the same in the company's production, then specialized Procurement officer / Department is a must.

its not a mandatory requirement that every company requires a procurement officer. it depend upon the work load & the person who is assigned to do P2P cycle should know all stuff out of it.

It depends on the type of business and the volume of buys , small scale may not necessary a specialized person to do this job however a finance or admin person can handle it , where it comes to quality procurement , it involves the requirement of an expert in the field 

No, Procurement officer is not required for every company. An intelligent finance or administration officer can do the job depending upon company size.

it depends on the size of the procurement of the company if it's a small company the manager in charge can handle the tasks but if there is a load on procurement then it's a must.

Either the maintenance manager or the people who need different equipments.

Yes , Every company need a procurement officer, then only the prcess go fast. Eligible people can take this task, in absence of procurement officer

Every company does not need procurement officers. Small or medium size company may not need one. The financial officer or administrative officer that is intelligent and smart can do the job. 

It's all just a matter of size and complexity of needs procured for by a sourcer / purchasing organization.

Anyone, provided they are intelligent, organized and honest, can do procurement. In a small company, an admin assistant can do it.

Not a rocket science. It becomes rocket science in highly complex, big businesses, partly due to compliance issues and admin overload corporations are sometimes (in)famous for, partly due to volume and complexity of goods / services procured.

Its my experience that all involved in the procurement process should be knowledgeable in this field. however having a seasoned Procurement Officer would eliminate the guess work whether  this Procurement field is in good, great or in a capable hands. 

it depends on the company size.  in small to mid sized companies the financial and administrative manager can do the Job, but is big companies you need a procurement officer to keep good track of everything.. in multinational companies there is a procurement officer for each division..