Yes, absolutely.    

You can have multiple pension pots alongside your Compound pension. For  example, you might have a personal pension with Compound, a workplace pension  through your employer, and even several older workplace pensions. You could  also have a Compound workplace pension through your employer whilst also  having multiple old pension pots lying around.    

However, keeping multiple small pension pots scattered across different  providers may mean you don't have a clear view of all of your money. In fact, reports state there could be between £30-£50 Billion sat in lost pensions in  the UK today.    

With Compound’s free Find and Combine pension service (in app), you can  easily combine all your pensions into one place, helping your savings grow  more effectively over time.  

Risk warnings: Capital at risk, the  value of your investments can go down as well as up. Pension transfers may not be right for everyone.