A great question which needs answers!

No, they're not the same. Intervals are not chords, and chords are not intervals.

They do, however, have a sort of relationship, but it can get confusing - hence the question!

An interval - any interval - is defined as the *space* between **two** notes. It also needs the *names* of those two notes to be classified. As such, any given two notes, sounding an 'interval', may have the same sounding interval, but different names. Like C>E♭ - a minor third. And, in 12tet, C>D♯ - an augmented second. Their sound together is identical, but the function they work in is very different, and, they won't look the same on the stave. They will, however, sound exactly the same. Every interval between two notes has this 'problem' - diminished 5th and augmented 4th as another example.

A chord - to most people - contains two or more intervals. Those between the first/second notes, and between second/third notes. There will be as many intervals as the number of notes minus one. I'm not getting embroiled in 'two notes makes a chord' here - for now, two notes makes an interval.

So, taking a three note chord - a humble major chord - we start at the lowest note. Call it **C**. Going up (intervals are calculated from the lower note up) there's a major 3rd to the next note - **E** - and a perfect 5th from that same C to **G**. Thus CEG constitutes a C major chord (in root position). 

Confusion awaits, though, as if we examine that chord interval-wise in a different way, it gets odd. **C** >**E** is M3. But - **E**>**G** is m3! We now have a *major* chord with a *minor* 3rd in it. Move things about, and Cm could be construed as having m3 (C>E♭) with a M3 above (E♭>G). Bear in mind that in both, C>G is P5. Maybe this is where OP is mixed up?

So, to sum up. An interval is the distance between two given named notes. A chord is three or more notes played simultaneously, and the relationship between those notes is quantfiable by use of interval names.