if i get an Noc from my company can i change to...

Dear Customer,                             
Thanks for joining and trusting us, much appreciated!

We would like to inform you that according to the Qatar Residence Law you can’t transfer the sponsorship unless you get the approval from the sponsor, if the work contract is limited and valid.
However, the worker sponsorship can be transferred to new sponsor if the limited contract finished or 5 years passed for working with unlimited contract.
Also, you can’t transfer the visa from sponsor to free visa but you can to a new sponsor according to the conditions mentioned above.

Below the articles related to your question.

Article 21:
The employer, the Competent Authorities, and the Ministry of Labor and Social Affairs may agree to transfer the Foreign National laborer to another employer before the time limit in the contract has been reached or after five years of working for the employer if the contract did not specify a time period.
 
The Foreign National laborer may, with authorization from the Competent Authorities and the Ministry of Labor and Social Affairs, transfer to another employer in the event of the Recruiter’s death or dissolution of the body corporate for any reason.
In all cases, the employer serving as the Recruiter shall not have his legal rights, or the contract between him and Foreign National, violated, in accordance with the referenced Labor Law.
Article (22)
The Minister or his representative may authorize the temporary transfer of a Foreign National laborer to another employer in the event of a legal suit existing between the Foreign National and his Recruiter, on the condition that the Ministry of Labor and Social Affairs agrees, as regards the laborer who is subject to the referenced Labor Law.
The Minister or his representative may authorize the transfer of a Foreign National laborer who is not subject to the referenced Labor Law to another employer if proven that the Recruiter was abusive, or if required by the general welfare.
For the same reasons, with the consent of the Minister or his deputy, upon the application of the applicant for employment and the approval of the Ministry of Labor and Social Affairs, the arrival shall be transferred to another employer.

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