Yes, amateur astronomers can spot exoplanets, however, it requires specialized equipment and techniques to detect exoplanets. Here's an overview of how amateur astronomers can attempt to observe exoplanets:

1. Transit Photometry:

This technique involves observing a star as an exoplanet passes in front of it, causing a slight dimming of the star's brightness. Amateur astronomers can use small telescopes equipped with sensitive cameras to monitor star brightness variations. By analyzing the light curves, they can potentially detect the presence of exoplanets.

2. Microlensing:

Gravitational microlensing occurs when the gravitational field of an exoplanet causes a slight bending of light from a distant background star. Monitoring brightness changes in background stars can reveal the presence of exoplanets. Advanced data analysis is required to extract microlensing signals.

3. Astrometric Detection:

Astrometric detection involves measuring the tiny wobbles in a star's position caused by the gravitational influence of an orbiting exoplanet. High-precision astrometry requires precise measurements and can be challenging for amateur astronomers.

4. Direct Imaging:

Direct imaging of exoplanets is extremely difficult due to the vast difference in brightness between a star and a planet. However, with powerful telescopes and advanced techniques like coronagraphy (blocking out the star's light), some amateur astronomers have been successful in obtaining images of exoplanets.

Overall, while it is possible for amateur astronomers to attempt exoplanet observations, these techniques can be demanding and require specialized equipment and expertise. For the majority of exoplanet discoveries, professional astronomers with dedicated instruments and observatories play the primary role.