@Pds229 

Absolutely.  However there is a caveat is that you do not want to daisy chain them.  Instead Ideally have your router centrally located and then place extenders, like branches, in separate locations.  You would also want to set them up one at time, especially if they are all going to broadcast the host SSID, to ensure they are not daisy chained.  This is because when a range extender is working as an true extender it is a half-duplex device.  This means it can only communicate to the router or to the client in one direction at a time.  This is also why when an extender is used speed is lower on the extender.  

Another option to consider is OneMesh.  If your router is TP-Link and it supports OneMesh then you can use this feature with compatible range extenders to setup a mesh environment.  In OneMesh you can daisy chain up to 2 extenders to each other and while on the extensions there is some speed loss its typically much less than in a traditional router to range extender environment.

If you do not have a TP-Link router or it does not support OneMesh your last viable option would be Whole Home WiFi systems, Like one of our Deco systems.  These are multi-unit routers that all share the same configuration and can communicate with each other wireless or over Ethernet.  One unit the base would act as the router and would like any other router need to be connected to the source of internet at all times but the rest can be either wired or wireless.  Again there is likely going to be minor speed loss to the remote units, but this is typically minimal.  This is because when using wireless backhaul the same factors that affect a client's speed will affect these units.   If you go with this option I would recommend no more than 25-30 feet between units for your network spacing.  The Deco X25 3-pack can meet the needs of most homes.