You will be able to achieve 10 requests/second with 1 virtual user only if your response time will be 100 milliseconds. If response time will be more than 100 milliseconds - you will not be able to reach the desired load.
If your application fails to respond in 100 milliseconds time frame - most probably you've found a performance bottleneck and you can report this to your application developers.
If you have some time to investigate the issue you can try to provide more information, i.e. what is the average response time, what are minimum, maximum, quantiles, the actual number of requests per second, etc, all this information can be retrieved using Aggregate Report listener.
Normally when people are looking for the answer if the application under test can support X requests per second they use > 1 virtual user as load test should represent real life usage of the system under test and 1 thread (virtual user) isn't normally associated with performance testing and derivatives.
So probably you should reconsider your approach to testing and try increasing the number of threads (virtual users). The throughput can be controlled using Precise Throughput Timer or Constant Throughput Timer. However be aware that the above timers can only pause JMeter to slow it down to the desired throughput. Another approach is using Concurrency Thread Group and Throughput Shaping Timer combination, they can be connected using Feedback Function so JMeter will kick off extra threads in order to reach/maintain the desired number of requests per second.
You can install Concurrency Thread Group and Throughput Shaping Timer using JMeter Plugins Manager