Answer can be both Yes and NO.
Yes - there will be an impact, if you are staying in the same company for many years, because to reach to the higher ladder you have to climb each steps in that company and it will take many years.
No - There will be no impact to your current designation, if you move out of the current company as each company has got it's own designations. New company will give you the designation based on your experience and qualifications.
Regards,
Asheej T K