can I split a site between two web hosting services?

I have a site registered at a small expensive web hosting service.
I have a cheap hosting at another (big) web hosting service.

for various reason I do not want to move my site from the current hosting service, but I want to start the site migrate by adding  new sub domains / folders the will reside on the new hosting while the current content will reside on the current hosting so that the user will not even notice that he is accessing two different servers.

Can I do it? if so, how?

P.S. the hosting programs on both web hosting services is Microsoft shared hosting.

Thank you in advance for your help,
Zvitam.

Solution: can I split a site between two web hosting services?

Provided the content for the different subdomains is on each host, all of the changes can be made at the DNS level.  So you would point www.domain.com to host1 and www2.domain.com to host2.  There are also ways to keep the subdomains the same and use a form of round robin in the A records to go from one to the other.