A tablet pen, as the name suggests, is a pen that you use for tablets and laptops with touchscreen. One one hand, the input is given with a lot of precision, as the touching point with the screen is only the thin tip of the pen. On the other hand, you can prevent polluting the screens with fingerprints.
For the basic understanding of how a tablet pen actually works, let's first look at the two basic functional principles of a touchscreen. On one side, there's the resistive one, on the other side there's the capacitive one. The resistive touchscreen plays an important role in the industry as it responds to pressure and can be operated with gloves without any problems. On the flipside, the capacitive touchscreen has to be touched with a conductive object, i.e. with a finger or a conductive input pen. Most importantly, the capacitive technologie dominates the smartphone and tablet market.
90XB063N-MTO020 original Asus Active stylus SA200H MPP 1.51 incl. batteries
90XB06PN-MTO000 original Asus Pen SA201H MPP 2.0 incl. batteries
90XB07KN-MTO000 original Asus Pen 2.0 SA203H
4X80H34887 original Lenovo ThinkPad Pro Aktive Pen incl. battery
1MR94AA original HP stylus incl. battery
000085C01011 original Asus Active Stylus SA200H MPP 1.51 Extended Kit incl. batteries
6SG43AA original HP Active Pen G3
PEN059 IPC-Computer Universal pen white
NC.23811.08Z original Acer stylus
4X80N95873 original Lenovo Active Pen 2 incl. battery
NC.23811.07H original Acer stylus
NC.23811.07R original Acer stylus
NC.23811.07A original Acer stylus
GX80K32884 original Lenovo Active Pen incl. battery
90NX03A0-R90010 original Asus Active Stylus SA202H
3J123AA#ABB original HP Tilt Pen MPP 2.0 silver
90XB06HN-MTO010 original Asus Pen SA300
01LW769 original Lenovo stylus
04190-00090000 original Asus stylus
04190-00090100 original Asus Stylus pen incl. replacement tip
NC.23811.05P original Acer stylus
NC.23811.06F original Acer stylus
38046729 original Fujitsu stylus incl. battery
NC.23811.08A original Acer stylus
NC.23811.08H original Acer stylus
04190-00160000 original Asus stylus incl. battery b-stock
M83354-001 original HP SPS-PEN HP PRO SLIM
3V2X4AA original HP MPP 1.51 Pen incl. battery
5T70Z72209 original Lenovo stylus
No, because every manufacturer uses different input technoligies.
You can use any capacitive touchscreen with a simple pen with conductive rubber tip. Basically, this just is a digital finger which is more comfortable and doesn't leave dirty fingerprints. Since the technologie behind this is very simplistic, such pens are relatively inexpensive.
In contrast, the so-called active input pen or active stylus must be compatible with the respective tablet. This is because maufacturers are applying highly complex technologies that enable the user to write or draw on his device like on paper. Additionally, this kind of tablet pen can modified with buttons and switches and thus can act as a substitude for the mouse. This provides functions such as erase and undo. Especially in the industry of modern graphic design, such high-precision pens with special drawing tablets are an enormous relief.
An example of compatibility of active stylus and tablet is the VivoTab Note 8 tablet from ASUS. Due to the special EMR (Electro Magnetic Resonance) technology, there is exactly one suitable pen that can be used for this tablet. However, it is also possible that different manufacturers use the same electronics for their pens, which are only slightly different in appearance. Furthermore, this makes these stylus pens compatible with each other despite originating from various producers. One example of this would be Asus, HP and Dell, all offering the same stylus pen, with different model designations.